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Finding the Fourth Proportional to 340,878.76, 511,318.13 and 104,221.43

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Solution

The fourth proportional to 340,878.76, 511,318.13 and 104,221.43 is: 156,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,878.76 : 511,318.13 = 104,221.43 : x
  2. Step 2: Convert to fraction form
    340,878.76/511,318.13 = 104,221.43/x
  3. Step 3: Cross multiply
    340,878.76x = 511,318.13 × 104,221.43
  4. Step 4: Simplify right side
    340,878.76x = 53,290,306,693.53
  5. Step 5: Solve for x
    x = 53,290,306,693.53/340,878.76
  6. Step 6: Final answer
    x = 156,332.14

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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.