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Finding the Fourth Proportional to 649,813.52, 974,720.28 and 428,145.68

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Solution

The fourth proportional to 649,813.52, 974,720.28 and 428,145.68 is: 642,218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,813.52 : 974,720.28 = 428,145.68 : x
  2. Step 2: Convert to fraction form
    649,813.52/974,720.28 = 428,145.68/x
  3. Step 3: Cross multiply
    649,813.52x = 974,720.28 × 428,145.68
  4. Step 4: Simplify right side
    649,813.52x = 417,322,277,090.39
  5. Step 5: Solve for x
    x = 417,322,277,090.39/649,813.52
  6. Step 6: Final answer
    x = 642,218.52

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.