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Finding the Fourth Proportional to 280,756,502.55, 421,134,753.83 and 280,756,502.55

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Solution

The fourth proportional to 280,756,502.55, 421,134,753.83 and 280,756,502.55 is: 421,134,753.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,756,502.55 : 421,134,753.83 = 280,756,502.55 : x
  2. Step 2: Convert to fraction form
    280,756,502.55/421,134,753.83 = 280,756,502.55/x
  3. Step 3: Cross multiply
    280,756,502.55x = 421,134,753.83 × 280,756,502.55
  4. Step 4: Simplify right side
    280,756,502.55x = 118,236,320,586,162,240
  5. Step 5: Solve for x
    x = 118,236,320,586,162,240/280,756,502.55
  6. Step 6: Final answer
    x = 421,134,753.83

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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.