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Finding the Fourth Proportional to 398,646,280.80, 597,969,421.20 and 381,427,592.40

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Solution

The fourth proportional to 398,646,280.80, 597,969,421.20 and 381,427,592.40 is: 572,141,388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,646,280.80 : 597,969,421.20 = 381,427,592.40 : x
  2. Step 2: Convert to fraction form
    398,646,280.80/597,969,421.20 = 381,427,592.40/x
  3. Step 3: Cross multiply
    398,646,280.80x = 597,969,421.20 × 381,427,592.40
  4. Step 4: Simplify right side
    398,646,280.80x = 228,082,036,657,137,536
  5. Step 5: Solve for x
    x = 228,082,036,657,137,536/398,646,280.80
  6. Step 6: Final answer
    x = 572,141,388.60

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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.