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Finding the Fourth Proportional to 417,342.40, 626,013.60 and 121,854.40

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Solution

The fourth proportional to 417,342.40, 626,013.60 and 121,854.40 is: 182,781.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,342.40 : 626,013.60 = 121,854.40 : x
  2. Step 2: Convert to fraction form
    417,342.40/626,013.60 = 121,854.40/x
  3. Step 3: Cross multiply
    417,342.40x = 626,013.60 × 121,854.40
  4. Step 4: Simplify right side
    417,342.40x = 76,282,511,619.84
  5. Step 5: Solve for x
    x = 76,282,511,619.84/417,342.40
  6. Step 6: Final answer
    x = 182,781.60

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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.