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Finding the Fourth Proportional to 510,008.64, 765,013.92 and 177,585.60

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Solution

The fourth proportional to 510,008.64, 765,013.92 and 177,585.60 is: 266,378.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,008.64 : 765,013.92 = 177,585.60 : x
  2. Step 2: Convert to fraction form
    510,008.64/765,013.92 = 177,585.60/x
  3. Step 3: Cross multiply
    510,008.64x = 765,013.92 × 177,585.60
  4. Step 4: Simplify right side
    510,008.64x = 135,855,455,991.55
  5. Step 5: Solve for x
    x = 135,855,455,991.55/510,008.64
  6. Step 6: Final answer
    x = 266,378.73

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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.