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Finding the Fourth Proportional to 265,613.50, 398,498.28 and 78,629.86

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Solution

The fourth proportional to 265,613.50, 398,498.28 and 78,629.86 is: 117,967.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,613.50 : 398,498.28 = 78,629.86 : x
  2. Step 2: Convert to fraction form
    265,613.50/398,498.28 = 78,629.86/x
  3. Step 3: Cross multiply
    265,613.50x = 398,498.28 × 78,629.86
  4. Step 4: Simplify right side
    265,613.50x = 31,333,863,966.64
  5. Step 5: Solve for x
    x = 31,333,863,966.64/265,613.50
  6. Step 6: Final answer
    x = 117,967.89

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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.