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Finding the Fourth Proportional to 508,721.30, 763,191.30 and 153,771.20

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Solution

The fourth proportional to 508,721.30, 763,191.30 and 153,771.20 is: 230,689.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,721.30 : 763,191.30 = 153,771.20 : x
  2. Step 2: Convert to fraction form
    508,721.30/763,191.30 = 153,771.20/x
  3. Step 3: Cross multiply
    508,721.30x = 763,191.30 × 153,771.20
  4. Step 4: Simplify right side
    508,721.30x = 117,356,842,030.56
  5. Step 5: Solve for x
    x = 117,356,842,030.56/508,721.30
  6. Step 6: Final answer
    x = 230,689.85

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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.