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Finding the Fourth Proportional to 280,098.61, 386,568.75 and 159,258.00

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Solution

The fourth proportional to 280,098.61, 386,568.75 and 159,258.00 is: 219,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,098.61 : 386,568.75 = 159,258.00 : x
  2. Step 2: Convert to fraction form
    280,098.61/386,568.75 = 159,258.00/x
  3. Step 3: Cross multiply
    280,098.61x = 386,568.75 × 159,258.00
  4. Step 4: Simplify right side
    280,098.61x = 61,564,165,859.90
  5. Step 5: Solve for x
    x = 61,564,165,859.90/280,098.61
  6. Step 6: Final answer
    x = 219,794.62

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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.