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Finding the Fourth Proportional to 330,045, 494,988.22 and 152,381.31

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Solution

The fourth proportional to 330,045, 494,988.22 and 152,381.31 is: 228,535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,045 : 494,988.22 = 152,381.31 : x
  2. Step 2: Convert to fraction form
    330,045/494,988.22 = 152,381.31/x
  3. Step 3: Cross multiply
    330,045x = 494,988.22 × 152,381.31
  4. Step 4: Simplify right side
    330,045x = 75,426,953,398.17
  5. Step 5: Solve for x
    x = 75,426,953,398.17/330,045
  6. Step 6: Final answer
    x = 228,535.36

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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.