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Finding the Fourth Proportional to 508,677.80, 763,138.20 and 153,695.30

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Solution

The fourth proportional to 508,677.80, 763,138.20 and 153,695.30 is: 230,579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,677.80 : 763,138.20 = 153,695.30 : x
  2. Step 2: Convert to fraction form
    508,677.80/763,138.20 = 153,695.30/x
  3. Step 3: Cross multiply
    508,677.80x = 763,138.20 × 153,695.30
  4. Step 4: Simplify right side
    508,677.80x = 117,290,754,590.46
  5. Step 5: Solve for x
    x = 117,290,754,590.46/508,677.80
  6. Step 6: Final answer
    x = 230,579.66

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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.