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Finding the Fourth Proportional to 285,925.30, 394,569.30 and 165,062.50

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Solution

The fourth proportional to 285,925.30, 394,569.30 and 165,062.50 is: 227,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,925.30 : 394,569.30 = 165,062.50 : x
  2. Step 2: Convert to fraction form
    285,925.30/394,569.30 = 165,062.50/x
  3. Step 3: Cross multiply
    285,925.30x = 394,569.30 × 165,062.50
  4. Step 4: Simplify right side
    285,925.30x = 65,128,595,081.25
  5. Step 5: Solve for x
    x = 65,128,595,081.25/285,925.30
  6. Step 6: Final answer
    x = 227,781.85

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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.