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Finding the Fourth Proportional to 330,017.88, 494,947.42 and 152,354.30

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Solution

The fourth proportional to 330,017.88, 494,947.42 and 152,354.30 is: 228,494.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,017.88 : 494,947.42 = 152,354.30 : x
  2. Step 2: Convert to fraction form
    330,017.88/494,947.42 = 152,354.30/x
  3. Step 3: Cross multiply
    330,017.88x = 494,947.42 × 152,354.30
  4. Step 4: Simplify right side
    330,017.88x = 75,407,367,710.91
  5. Step 5: Solve for x
    x = 75,407,367,710.91/330,017.88
  6. Step 6: Final answer
    x = 228,494.79

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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.