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Finding the Fourth Proportional to 388,727.52, 536,422.29 and 214,292.10

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Solution

The fourth proportional to 388,727.52, 536,422.29 and 214,292.10 is: 295,711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,727.52 : 536,422.29 = 214,292.10 : x
  2. Step 2: Convert to fraction form
    388,727.52/536,422.29 = 214,292.10/x
  3. Step 3: Cross multiply
    388,727.52x = 536,422.29 × 214,292.10
  4. Step 4: Simplify right side
    388,727.52x = 114,951,059,010.91
  5. Step 5: Solve for x
    x = 114,951,059,010.91/388,727.52
  6. Step 6: Final answer
    x = 295,711.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.