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Finding the Fourth Proportional to 290,507.85, 432,841.90 and 274,191.61

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Solution

The fourth proportional to 290,507.85, 432,841.90 and 274,191.61 is: 408,531.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,507.85 : 432,841.90 = 274,191.61 : x
  2. Step 2: Convert to fraction form
    290,507.85/432,841.90 = 274,191.61/x
  3. Step 3: Cross multiply
    290,507.85x = 432,841.90 × 274,191.61
  4. Step 4: Simplify right side
    290,507.85x = 118,681,617,436.46
  5. Step 5: Solve for x
    x = 118,681,617,436.46/290,507.85
  6. Step 6: Final answer
    x = 408,531.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.