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Finding the Fourth Proportional to 661,667.10, 992,500.65 and 409,724.70

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Solution

The fourth proportional to 661,667.10, 992,500.65 and 409,724.70 is: 614,587.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,667.10 : 992,500.65 = 409,724.70 : x
  2. Step 2: Convert to fraction form
    661,667.10/992,500.65 = 409,724.70/x
  3. Step 3: Cross multiply
    661,667.10x = 992,500.65 × 409,724.70
  4. Step 4: Simplify right side
    661,667.10x = 406,652,031,071.06
  5. Step 5: Solve for x
    x = 406,652,031,071.06/661,667.10
  6. Step 6: Final answer
    x = 614,587.05

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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.