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Finding the Fourth Proportional to 418,006.32, 626,998.52 and 148,130.52

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Solution

The fourth proportional to 418,006.32, 626,998.52 and 148,130.52 is: 222,191.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,006.32 : 626,998.52 = 148,130.52 : x
  2. Step 2: Convert to fraction form
    418,006.32/626,998.52 = 148,130.52/x
  3. Step 3: Cross multiply
    418,006.32x = 626,998.52 × 148,130.52
  4. Step 4: Simplify right side
    418,006.32x = 92,877,616,806.83
  5. Step 5: Solve for x
    x = 92,877,616,806.83/418,006.32
  6. Step 6: Final answer
    x = 222,191.90

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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.