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Finding the Fourth Proportional to 406,256.80, 609,441.84 and 169,545.28

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Solution

The fourth proportional to 406,256.80, 609,441.84 and 169,545.28 is: 254,341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,256.80 : 609,441.84 = 169,545.28 : x
  2. Step 2: Convert to fraction form
    406,256.80/609,441.84 = 169,545.28/x
  3. Step 3: Cross multiply
    406,256.80x = 609,441.84 × 169,545.28
  4. Step 4: Simplify right side
    406,256.80x = 103,327,987,406.52
  5. Step 5: Solve for x
    x = 103,327,987,406.52/406,256.80
  6. Step 6: Final answer
    x = 254,341.56

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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.