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Finding the Fourth Proportional to 417,665.80, 626,498.70 and 137,211.40

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Solution

The fourth proportional to 417,665.80, 626,498.70 and 137,211.40 is: 205,817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,665.80 : 626,498.70 = 137,211.40 : x
  2. Step 2: Convert to fraction form
    417,665.80/626,498.70 = 137,211.40/x
  3. Step 3: Cross multiply
    417,665.80x = 626,498.70 × 137,211.40
  4. Step 4: Simplify right side
    417,665.80x = 85,962,763,725.18
  5. Step 5: Solve for x
    x = 85,962,763,725.18/417,665.80
  6. Step 6: Final answer
    x = 205,817.10

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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.