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Finding the Fourth Proportional to 280,482,807.60, 420,724,211.40 and 276,656,432.40

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Solution

The fourth proportional to 280,482,807.60, 420,724,211.40 and 276,656,432.40 is: 414,984,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,482,807.60 : 420,724,211.40 = 276,656,432.40 : x
  2. Step 2: Convert to fraction form
    280,482,807.60/420,724,211.40 = 276,656,432.40/x
  3. Step 3: Cross multiply
    280,482,807.60x = 420,724,211.40 × 276,656,432.40
  4. Step 4: Simplify right side
    280,482,807.60x = 116,396,059,350,227,392
  5. Step 5: Solve for x
    x = 116,396,059,350,227,392/280,482,807.60
  6. Step 6: Final answer
    x = 414,984,648.60

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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.