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Finding the Fourth Proportional to 465,728.64, 642,329.56 and 312,720.72

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Solution

The fourth proportional to 465,728.64, 642,329.56 and 312,720.72 is: 431,302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,728.64 : 642,329.56 = 312,720.72 : x
  2. Step 2: Convert to fraction form
    465,728.64/642,329.56 = 312,720.72/x
  3. Step 3: Cross multiply
    465,728.64x = 642,329.56 × 312,720.72
  4. Step 4: Simplify right side
    465,728.64x = 200,869,762,480.48
  5. Step 5: Solve for x
    x = 200,869,762,480.48/465,728.64
  6. Step 6: Final answer
    x = 431,302.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.