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Finding the Fourth Proportional to 509,666.59, 703,348.55 and 280,233.28

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Solution

The fourth proportional to 509,666.59, 703,348.55 and 280,233.28 is: 386,726.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,666.59 : 703,348.55 = 280,233.28 : x
  2. Step 2: Convert to fraction form
    509,666.59/703,348.55 = 280,233.28/x
  3. Step 3: Cross multiply
    509,666.59x = 703,348.55 × 280,233.28
  4. Step 4: Simplify right side
    509,666.59x = 197,101,671,149.74
  5. Step 5: Solve for x
    x = 197,101,671,149.74/509,666.59
  6. Step 6: Final answer
    x = 386,726.69

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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.