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Finding the Fourth Proportional to 406,679.40, 609,581.70 and 153,862.20

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Solution

The fourth proportional to 406,679.40, 609,581.70 and 153,862.20 is: 230,627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,679.40 : 609,581.70 = 153,862.20 : x
  2. Step 2: Convert to fraction form
    406,679.40/609,581.70 = 153,862.20/x
  3. Step 3: Cross multiply
    406,679.40x = 609,581.70 × 153,862.20
  4. Step 4: Simplify right side
    406,679.40x = 93,791,581,441.74
  5. Step 5: Solve for x
    x = 93,791,581,441.74/406,679.40
  6. Step 6: Final answer
    x = 230,627.82

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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.