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Finding the Fourth Proportional to 406,064.88, 609,155.64 and 125,604

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Solution

The fourth proportional to 406,064.88, 609,155.64 and 125,604 is: 188,424.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,064.88 : 609,155.64 = 125,604 : x
  2. Step 2: Convert to fraction form
    406,064.88/609,155.64 = 125,604/x
  3. Step 3: Cross multiply
    406,064.88x = 609,155.64 × 125,604
  4. Step 4: Simplify right side
    406,064.88x = 76,512,385,006.56
  5. Step 5: Solve for x
    x = 76,512,385,006.56/406,064.88
  6. Step 6: Final answer
    x = 188,424.04

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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.