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Finding the Fourth Proportional to 265,968.71, 398,318.83 and 147,345.83

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Solution

The fourth proportional to 265,968.71, 398,318.83 and 147,345.83 is: 220,667.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,968.71 : 398,318.83 = 147,345.83 : x
  2. Step 2: Convert to fraction form
    265,968.71/398,318.83 = 147,345.83/x
  3. Step 3: Cross multiply
    265,968.71x = 398,318.83 × 147,345.83
  4. Step 4: Simplify right side
    265,968.71x = 58,690,615,882.66
  5. Step 5: Solve for x
    x = 58,690,615,882.66/265,968.71
  6. Step 6: Final answer
    x = 220,667.37

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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.