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Finding the Fourth Proportional to 265,405.92, 398,176.32 and 78,417.42

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Solution

The fourth proportional to 265,405.92, 398,176.32 and 78,417.42 is: 117,646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,405.92 : 398,176.32 = 78,417.42 : x
  2. Step 2: Convert to fraction form
    265,405.92/398,176.32 = 78,417.42/x
  3. Step 3: Cross multiply
    265,405.92x = 398,176.32 × 78,417.42
  4. Step 4: Simplify right side
    265,405.92x = 31,223,959,719.49
  5. Step 5: Solve for x
    x = 31,223,959,719.49/265,405.92
  6. Step 6: Final answer
    x = 117,646.06

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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.