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Finding the Fourth Proportional to 663,771, 916,073.10 and 409,115.64

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Solution

The fourth proportional to 663,771, 916,073.10 and 409,115.64 is: 564,622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,771 : 916,073.10 = 409,115.64 : x
  2. Step 2: Convert to fraction form
    663,771/916,073.10 = 409,115.64/x
  3. Step 3: Cross multiply
    663,771x = 916,073.10 × 409,115.64
  4. Step 4: Simplify right side
    663,771x = 374,779,832,593.28
  5. Step 5: Solve for x
    x = 374,779,832,593.28/663,771
  6. Step 6: Final answer
    x = 564,622.19

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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.