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Finding the Fourth Proportional to 765,897.60, 1,149,364.80 and 344,956.80

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Solution

The fourth proportional to 765,897.60, 1,149,364.80 and 344,956.80 is: 517,668.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,897.60 : 1,149,364.80 = 344,956.80 : x
  2. Step 2: Convert to fraction form
    765,897.60/1,149,364.80 = 344,956.80/x
  3. Step 3: Cross multiply
    765,897.60x = 1,149,364.80 × 344,956.80
  4. Step 4: Simplify right side
    765,897.60x = 396,481,203,440.64
  5. Step 5: Solve for x
    x = 396,481,203,440.64/765,897.60
  6. Step 6: Final answer
    x = 517,668.69

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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.