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Finding the Fourth Proportional to 661,655.10, 992,482.65 and 409,712.70

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Solution

The fourth proportional to 661,655.10, 992,482.65 and 409,712.70 is: 614,569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,655.10 : 992,482.65 = 409,712.70 : x
  2. Step 2: Convert to fraction form
    661,655.10/992,482.65 = 409,712.70/x
  3. Step 3: Cross multiply
    661,655.10x = 992,482.65 × 409,712.70
  4. Step 4: Simplify right side
    661,655.10x = 406,632,746,234.66
  5. Step 5: Solve for x
    x = 406,632,746,234.66/661,655.10
  6. Step 6: Final answer
    x = 614,569.05

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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.