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Finding the Fourth Proportional to 551,725.65, 827,999.19 and 409,901.13

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Solution

The fourth proportional to 551,725.65, 827,999.19 and 409,901.13 is: 615,156.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,725.65 : 827,999.19 = 409,901.13 : x
  2. Step 2: Convert to fraction form
    551,725.65/827,999.19 = 409,901.13/x
  3. Step 3: Cross multiply
    551,725.65x = 827,999.19 × 409,901.13
  4. Step 4: Simplify right side
    551,725.65x = 339,397,803,620.09
  5. Step 5: Solve for x
    x = 339,397,803,620.09/551,725.65
  6. Step 6: Final answer
    x = 615,156.83

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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.