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Finding the Fourth Proportional to 411,303.06, 615,841.56 and 268,793.28

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Solution

The fourth proportional to 411,303.06, 615,841.56 and 268,793.28 is: 402,462.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,303.06 : 615,841.56 = 268,793.28 : x
  2. Step 2: Convert to fraction form
    411,303.06/615,841.56 = 268,793.28/x
  3. Step 3: Cross multiply
    411,303.06x = 615,841.56 × 268,793.28
  4. Step 4: Simplify right side
    411,303.06x = 165,534,072,872.72
  5. Step 5: Solve for x
    x = 165,534,072,872.72/411,303.06
  6. Step 6: Final answer
    x = 402,462.54

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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.