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Finding the Fourth Proportional to 353,209.57, 488,712.76 and 307,981.80

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Solution

The fourth proportional to 353,209.57, 488,712.76 and 307,981.80 is: 426,134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,209.57 : 488,712.76 = 307,981.80 : x
  2. Step 2: Convert to fraction form
    353,209.57/488,712.76 = 307,981.80/x
  3. Step 3: Cross multiply
    353,209.57x = 488,712.76 × 307,981.80
  4. Step 4: Simplify right side
    353,209.57x = 150,514,635,507.77
  5. Step 5: Solve for x
    x = 150,514,635,507.77/353,209.57
  6. Step 6: Final answer
    x = 426,134.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.