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Finding the Fourth Proportional to 265,579.28, 398,370.72 and 78,592.40

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Solution

The fourth proportional to 265,579.28, 398,370.72 and 78,592.40 is: 117,889.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,579.28 : 398,370.72 = 78,592.40 : x
  2. Step 2: Convert to fraction form
    265,579.28/398,370.72 = 78,592.40/x
  3. Step 3: Cross multiply
    265,579.28x = 398,370.72 × 78,592.40
  4. Step 4: Simplify right side
    265,579.28x = 31,308,910,974.53
  5. Step 5: Solve for x
    x = 31,308,910,974.53/265,579.28
  6. Step 6: Final answer
    x = 117,889.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.