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Finding the Fourth Proportional to 256,565.56, 354,159.12 and 229,660.60

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Solution

The fourth proportional to 256,565.56, 354,159.12 and 229,660.60 is: 317,019.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,565.56 : 354,159.12 = 229,660.60 : x
  2. Step 2: Convert to fraction form
    256,565.56/354,159.12 = 229,660.60/x
  3. Step 3: Cross multiply
    256,565.56x = 354,159.12 × 229,660.60
  4. Step 4: Simplify right side
    256,565.56x = 81,336,395,994.67
  5. Step 5: Solve for x
    x = 81,336,395,994.67/256,565.56
  6. Step 6: Final answer
    x = 317,019.93

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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.