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Finding the Fourth Proportional to 410,030, 615,148.68 and 114,542

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Solution

The fourth proportional to 410,030, 615,148.68 and 114,542 is: 171,841.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,030 : 615,148.68 = 114,542 : x
  2. Step 2: Convert to fraction form
    410,030/615,148.68 = 114,542/x
  3. Step 3: Cross multiply
    410,030x = 615,148.68 × 114,542
  4. Step 4: Simplify right side
    410,030x = 70,460,360,104.56
  5. Step 5: Solve for x
    x = 70,460,360,104.56/410,030
  6. Step 6: Final answer
    x = 171,841.96

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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.