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Finding the Fourth Proportional to 285,869.40, 394,524 and 158,586

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Solution

The fourth proportional to 285,869.40, 394,524 and 158,586 is: 218,862.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,869.40 : 394,524 = 158,586 : x
  2. Step 2: Convert to fraction form
    285,869.40/394,524 = 158,586/x
  3. Step 3: Cross multiply
    285,869.40x = 394,524 × 158,586
  4. Step 4: Simplify right side
    285,869.40x = 62,565,983,064
  5. Step 5: Solve for x
    x = 62,565,983,064/285,869.40
  6. Step 6: Final answer
    x = 218,862.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.