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Finding the Fourth Proportional to 390,429.20, 585,753.96 and 109,948.88

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Solution

The fourth proportional to 390,429.20, 585,753.96 and 109,948.88 is: 164,954.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,429.20 : 585,753.96 = 109,948.88 : x
  2. Step 2: Convert to fraction form
    390,429.20/585,753.96 = 109,948.88/x
  3. Step 3: Cross multiply
    390,429.20x = 585,753.96 × 109,948.88
  4. Step 4: Simplify right side
    390,429.20x = 64,402,991,857.56
  5. Step 5: Solve for x
    x = 64,402,991,857.56/390,429.20
  6. Step 6: Final answer
    x = 164,954.34

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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.