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Finding the Fourth Proportional to 417,758.76, 626,641.56 and 118,249.20

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Solution

The fourth proportional to 417,758.76, 626,641.56 and 118,249.20 is: 177,374.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,758.76 : 626,641.56 = 118,249.20 : x
  2. Step 2: Convert to fraction form
    417,758.76/626,641.56 = 118,249.20/x
  3. Step 3: Cross multiply
    417,758.76x = 626,641.56 × 118,249.20
  4. Step 4: Simplify right side
    417,758.76x = 74,099,863,156.75
  5. Step 5: Solve for x
    x = 74,099,863,156.75/417,758.76
  6. Step 6: Final answer
    x = 177,374.77

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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.