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Finding the Fourth Proportional to 363,290, 545,022.50 and 113,972

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Solution

The fourth proportional to 363,290, 545,022.50 and 113,972 is: 170,985.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,290 : 545,022.50 = 113,972 : x
  2. Step 2: Convert to fraction form
    363,290/545,022.50 = 113,972/x
  3. Step 3: Cross multiply
    363,290x = 545,022.50 × 113,972
  4. Step 4: Simplify right side
    363,290x = 62,117,304,370
  5. Step 5: Solve for x
    x = 62,117,304,370/363,290
  6. Step 6: Final answer
    x = 170,985.45

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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.