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Finding the Fourth Proportional to 417,701.70, 626,552.55 and 137,218.95

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Solution

The fourth proportional to 417,701.70, 626,552.55 and 137,218.95 is: 205,828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,701.70 : 626,552.55 = 137,218.95 : x
  2. Step 2: Convert to fraction form
    417,701.70/626,552.55 = 137,218.95/x
  3. Step 3: Cross multiply
    417,701.70x = 626,552.55 × 137,218.95
  4. Step 4: Simplify right side
    417,701.70x = 85,974,883,030.82
  5. Step 5: Solve for x
    x = 85,974,883,030.82/417,701.70
  6. Step 6: Final answer
    x = 205,828.43

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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.