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Finding the Fourth Proportional to 285,602.52, 394,122.85 and 156,538.18

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Solution

The fourth proportional to 285,602.52, 394,122.85 and 156,538.18 is: 216,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,602.52 : 394,122.85 = 156,538.18 : x
  2. Step 2: Convert to fraction form
    285,602.52/394,122.85 = 156,538.18/x
  3. Step 3: Cross multiply
    285,602.52x = 394,122.85 × 156,538.18
  4. Step 4: Simplify right side
    285,602.52x = 61,695,271,664.80
  5. Step 5: Solve for x
    x = 61,695,271,664.80/285,602.52
  6. Step 6: Final answer
    x = 216,017.96

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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.