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Finding the Fourth Proportional to 478,502.52, 717,758.60 and 204,911.76

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Solution

The fourth proportional to 478,502.52, 717,758.60 and 204,911.76 is: 307,369.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,502.52 : 717,758.60 = 204,911.76 : x
  2. Step 2: Convert to fraction form
    478,502.52/717,758.60 = 204,911.76/x
  3. Step 3: Cross multiply
    478,502.52x = 717,758.60 × 204,911.76
  4. Step 4: Simplify right side
    478,502.52x = 147,077,177,981.14
  5. Step 5: Solve for x
    x = 147,077,177,981.14/478,502.52
  6. Step 6: Final answer
    x = 307,369.70

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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.