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Finding the Fourth Proportional to 280,187,999.80, 420,281,999.70 and 178,403,270.20

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Solution

The fourth proportional to 280,187,999.80, 420,281,999.70 and 178,403,270.20 is: 267,604,905.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,187,999.80 : 420,281,999.70 = 178,403,270.20 : x
  2. Step 2: Convert to fraction form
    280,187,999.80/420,281,999.70 = 178,403,270.20/x
  3. Step 3: Cross multiply
    280,187,999.80x = 420,281,999.70 × 178,403,270.20
  4. Step 4: Simplify right side
    280,187,999.80x = 74,979,683,152,675,408
  5. Step 5: Solve for x
    x = 74,979,683,152,675,408/280,187,999.80
  6. Step 6: Final answer
    x = 267,604,905.30

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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.