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Finding the Fourth Proportional to 280,012,811.60, 420,019,217.40 and 254,482,648.40

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Solution

The fourth proportional to 280,012,811.60, 420,019,217.40 and 254,482,648.40 is: 381,723,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,012,811.60 : 420,019,217.40 = 254,482,648.40 : x
  2. Step 2: Convert to fraction form
    280,012,811.60/420,019,217.40 = 254,482,648.40/x
  3. Step 3: Cross multiply
    280,012,811.60x = 420,019,217.40 × 254,482,648.40
  4. Step 4: Simplify right side
    280,012,811.60x = 106,887,602,822,847,360
  5. Step 5: Solve for x
    x = 106,887,602,822,847,360/280,012,811.60
  6. Step 6: Final answer
    x = 381,723,972.60

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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.