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Finding the Fourth Proportional to 280,123,328.70, 420,247,978.65 and 86,043,699.90

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Solution

The fourth proportional to 280,123,328.70, 420,247,978.65 and 86,043,699.90 is: 129,084,896.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,123,328.70 : 420,247,978.65 = 86,043,699.90 : x
  2. Step 2: Convert to fraction form
    280,123,328.70/420,247,978.65 = 86,043,699.90/x
  3. Step 3: Cross multiply
    280,123,328.70x = 420,247,978.65 × 86,043,699.90
  4. Step 4: Simplify right side
    280,123,328.70x = 36,159,690,958,542,208
  5. Step 5: Solve for x
    x = 36,159,690,958,542,208/280,123,328.70
  6. Step 6: Final answer
    x = 129,084,896.74

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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.