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Finding the Fourth Proportional to 330,193.96, 495,011.14 and 130,655.12

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Solution

The fourth proportional to 330,193.96, 495,011.14 and 130,655.12 is: 195,871.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,193.96 : 495,011.14 = 130,655.12 : x
  2. Step 2: Convert to fraction form
    330,193.96/495,011.14 = 130,655.12/x
  3. Step 3: Cross multiply
    330,193.96x = 495,011.14 × 130,655.12
  4. Step 4: Simplify right side
    330,193.96x = 64,675,739,898.04
  5. Step 5: Solve for x
    x = 64,675,739,898.04/330,193.96
  6. Step 6: Final answer
    x = 195,871.97

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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.