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Finding the Fourth Proportional to 270,982,057.20, 406,473,085.80 and 89,205,615.60

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Solution

The fourth proportional to 270,982,057.20, 406,473,085.80 and 89,205,615.60 is: 133,808,423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,982,057.20 : 406,473,085.80 = 89,205,615.60 : x
  2. Step 2: Convert to fraction form
    270,982,057.20/406,473,085.80 = 89,205,615.60/x
  3. Step 3: Cross multiply
    270,982,057.20x = 406,473,085.80 × 89,205,615.60
  4. Step 4: Simplify right side
    270,982,057.20x = 36,259,681,843,620,616
  5. Step 5: Solve for x
    x = 36,259,681,843,620,616/270,982,057.20
  6. Step 6: Final answer
    x = 133,808,423.40

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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.