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Finding the Fourth Proportional to 280,835,997.40, 420,687,125.70 and 280,835,997.40

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Solution

The fourth proportional to 280,835,997.40, 420,687,125.70 and 280,835,997.40 is: 420,687,125.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,835,997.40 : 420,687,125.70 = 280,835,997.40 : x
  2. Step 2: Convert to fraction form
    280,835,997.40/420,687,125.70 = 280,835,997.40/x
  3. Step 3: Cross multiply
    280,835,997.40x = 420,687,125.70 × 280,835,997.40
  4. Step 4: Simplify right side
    280,835,997.40x = 118,144,088,539,298,656
  5. Step 5: Solve for x
    x = 118,144,088,539,298,656/280,835,997.40
  6. Step 6: Final answer
    x = 420,687,125.70

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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.