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Finding the Fourth Proportional to 390,159.86, 585,239.65 and 109,677.11

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Solution

The fourth proportional to 390,159.86, 585,239.65 and 109,677.11 is: 164,515.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,159.86 : 585,239.65 = 109,677.11 : x
  2. Step 2: Convert to fraction form
    390,159.86/585,239.65 = 109,677.11/x
  3. Step 3: Cross multiply
    390,159.86x = 585,239.65 × 109,677.11
  4. Step 4: Simplify right side
    390,159.86x = 64,187,390,269.02
  5. Step 5: Solve for x
    x = 64,187,390,269.02/390,159.86
  6. Step 6: Final answer
    x = 164,515.62

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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.