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Finding the Fourth Proportional to 510,398.98, 765,435.20 and 168,778.95

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Solution

The fourth proportional to 510,398.98, 765,435.20 and 168,778.95 is: 253,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,398.98 : 765,435.20 = 168,778.95 : x
  2. Step 2: Convert to fraction form
    510,398.98/765,435.20 = 168,778.95/x
  3. Step 3: Cross multiply
    510,398.98x = 765,435.20 × 168,778.95
  4. Step 4: Simplify right side
    510,398.98x = 129,189,349,349.04
  5. Step 5: Solve for x
    x = 129,189,349,349.04/510,398.98
  6. Step 6: Final answer
    x = 253,114.43

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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.