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Finding the Fourth Proportional to 256,470.48, 354,028.04 and 229,565.52

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Solution

The fourth proportional to 256,470.48, 354,028.04 and 229,565.52 is: 316,888.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,470.48 : 354,028.04 = 229,565.52 : x
  2. Step 2: Convert to fraction form
    256,470.48/354,028.04 = 229,565.52/x
  3. Step 3: Cross multiply
    256,470.48x = 354,028.04 × 229,565.52
  4. Step 4: Simplify right side
    256,470.48x = 81,272,631,097.18
  5. Step 5: Solve for x
    x = 81,272,631,097.18/256,470.48
  6. Step 6: Final answer
    x = 316,888.83

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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.