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Finding the Fourth Proportional to 260,142, 390,204.30 and 110,285.88

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Solution

The fourth proportional to 260,142, 390,204.30 and 110,285.88 is: 165,425.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,142 : 390,204.30 = 110,285.88 : x
  2. Step 2: Convert to fraction form
    260,142/390,204.30 = 110,285.88/x
  3. Step 3: Cross multiply
    260,142x = 390,204.30 × 110,285.88
  4. Step 4: Simplify right side
    260,142x = 43,034,024,605.28
  5. Step 5: Solve for x
    x = 43,034,024,605.28/260,142
  6. Step 6: Final answer
    x = 165,425.13

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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.