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Finding the Fourth Proportional to 256,799.76, 354,497.17 and 153,470.40

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Solution

The fourth proportional to 256,799.76, 354,497.17 and 153,470.40 is: 211,856.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,799.76 : 354,497.17 = 153,470.40 : x
  2. Step 2: Convert to fraction form
    256,799.76/354,497.17 = 153,470.40/x
  3. Step 3: Cross multiply
    256,799.76x = 354,497.17 × 153,470.40
  4. Step 4: Simplify right side
    256,799.76x = 54,404,822,478.77
  5. Step 5: Solve for x
    x = 54,404,822,478.77/256,799.76
  6. Step 6: Final answer
    x = 211,856.98

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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.