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Finding the Fourth Proportional to 347,891.84, 521,986.32 and 148,306.22

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Solution

The fourth proportional to 347,891.84, 521,986.32 and 148,306.22 is: 222,522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,891.84 : 521,986.32 = 148,306.22 : x
  2. Step 2: Convert to fraction form
    347,891.84/521,986.32 = 148,306.22/x
  3. Step 3: Cross multiply
    347,891.84x = 521,986.32 × 148,306.22
  4. Step 4: Simplify right side
    347,891.84x = 77,413,818,010.91
  5. Step 5: Solve for x
    x = 77,413,818,010.91/347,891.84
  6. Step 6: Final answer
    x = 222,522.66

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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.