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Finding the Fourth Proportional to 265,714.40, 398,434.80 and 78,701.60

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Solution

The fourth proportional to 265,714.40, 398,434.80 and 78,701.60 is: 118,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,714.40 : 398,434.80 = 78,701.60 : x
  2. Step 2: Convert to fraction form
    265,714.40/398,434.80 = 78,701.60/x
  3. Step 3: Cross multiply
    265,714.40x = 398,434.80 × 78,701.60
  4. Step 4: Simplify right side
    265,714.40x = 31,357,456,255.68
  5. Step 5: Solve for x
    x = 31,357,456,255.68/265,714.40
  6. Step 6: Final answer
    x = 118,011.88

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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.