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Finding the Fourth Proportional to 508,930.20, 763,395.30 and 154,193.40

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Solution

The fourth proportional to 508,930.20, 763,395.30 and 154,193.40 is: 231,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,930.20 : 763,395.30 = 154,193.40 : x
  2. Step 2: Convert to fraction form
    508,930.20/763,395.30 = 154,193.40/x
  3. Step 3: Cross multiply
    508,930.20x = 763,395.30 × 154,193.40
  4. Step 4: Simplify right side
    508,930.20x = 117,710,516,851.02
  5. Step 5: Solve for x
    x = 117,710,516,851.02/508,930.20
  6. Step 6: Final answer
    x = 231,290.10

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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.