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Finding the Fourth Proportional to 510,029.08, 703,830.33 and 280,572.95

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Solution

The fourth proportional to 510,029.08, 703,830.33 and 280,572.95 is: 387,185.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,029.08 : 703,830.33 = 280,572.95 : x
  2. Step 2: Convert to fraction form
    510,029.08/703,830.33 = 280,572.95/x
  3. Step 3: Cross multiply
    510,029.08x = 703,830.33 × 280,572.95
  4. Step 4: Simplify right side
    510,029.08x = 197,475,753,747.15
  5. Step 5: Solve for x
    x = 197,475,753,747.15/510,029.08
  6. Step 6: Final answer
    x = 387,185.29

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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.