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Finding the Fourth Proportional to 315,473.32, 435,332.92 and 172,233.06

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Solution

The fourth proportional to 315,473.32, 435,332.92 and 172,233.06 is: 237,670.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,473.32 : 435,332.92 = 172,233.06 : x
  2. Step 2: Convert to fraction form
    315,473.32/435,332.92 = 172,233.06/x
  3. Step 3: Cross multiply
    315,473.32x = 435,332.92 × 172,233.06
  4. Step 4: Simplify right side
    315,473.32x = 74,978,720,930.34
  5. Step 5: Solve for x
    x = 74,978,720,930.34/315,473.32
  6. Step 6: Final answer
    x = 237,670.56

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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.