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Finding the Fourth Proportional to 406,270.88, 609,073.84 and 153,407.92

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Solution

The fourth proportional to 406,270.88, 609,073.84 and 153,407.92 is: 229,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,270.88 : 609,073.84 = 153,407.92 : x
  2. Step 2: Convert to fraction form
    406,270.88/609,073.84 = 153,407.92/x
  3. Step 3: Cross multiply
    406,270.88x = 609,073.84 × 153,407.92
  4. Step 4: Simplify right side
    406,270.88x = 93,436,750,920.81
  5. Step 5: Solve for x
    x = 93,436,750,920.81/406,270.88
  6. Step 6: Final answer
    x = 229,986.34

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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.