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Finding the Fourth Proportional to 463,005.20, 649,140.40 and 463,005.20

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Solution

The fourth proportional to 463,005.20, 649,140.40 and 463,005.20 is: 649,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,005.20 : 649,140.40 = 463,005.20 : x
  2. Step 2: Convert to fraction form
    463,005.20/649,140.40 = 463,005.20/x
  3. Step 3: Cross multiply
    463,005.20x = 649,140.40 × 463,005.20
  4. Step 4: Simplify right side
    463,005.20x = 300,555,380,730.08
  5. Step 5: Solve for x
    x = 300,555,380,730.08/463,005.20
  6. Step 6: Final answer
    x = 649,140.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.