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Finding the Fourth Proportional to 661,668.10, 992,502.15 and 409,725.70

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Solution

The fourth proportional to 661,668.10, 992,502.15 and 409,725.70 is: 614,588.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,668.10 : 992,502.15 = 409,725.70 : x
  2. Step 2: Convert to fraction form
    661,668.10/992,502.15 = 409,725.70/x
  3. Step 3: Cross multiply
    661,668.10x = 992,502.15 × 409,725.70
  4. Step 4: Simplify right side
    661,668.10x = 406,653,638,160.26
  5. Step 5: Solve for x
    x = 406,653,638,160.26/661,668.10
  6. Step 6: Final answer
    x = 614,588.55

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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.