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Finding the Fourth Proportional to 511,841.60, 765,711.84 and 442,468.16

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Solution

The fourth proportional to 511,841.60, 765,711.84 and 442,468.16 is: 661,929.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,841.60 : 765,711.84 = 442,468.16 : x
  2. Step 2: Convert to fraction form
    511,841.60/765,711.84 = 442,468.16/x
  3. Step 3: Cross multiply
    511,841.60x = 765,711.84 × 442,468.16
  4. Step 4: Simplify right side
    511,841.60x = 338,803,108,935.01
  5. Step 5: Solve for x
    x = 338,803,108,935.01/511,841.60
  6. Step 6: Final answer
    x = 661,929.61

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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.