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Finding the Fourth Proportional to 486,930, 730,165.10 and 284,584.13

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Solution

The fourth proportional to 486,930, 730,165.10 and 284,584.13 is: 426,741.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,930 : 730,165.10 = 284,584.13 : x
  2. Step 2: Convert to fraction form
    486,930/730,165.10 = 284,584.13/x
  3. Step 3: Cross multiply
    486,930x = 730,165.10 × 284,584.13
  4. Step 4: Simplify right side
    486,930x = 207,793,394,666.12
  5. Step 5: Solve for x
    x = 207,793,394,666.12/486,930
  6. Step 6: Final answer
    x = 426,741.82

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1.5x scale

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.