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Finding the Fourth Proportional to 285,230.16, 393,602.00 and 156,143.66

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Solution

The fourth proportional to 285,230.16, 393,602.00 and 156,143.66 is: 215,469.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,230.16 : 393,602.00 = 156,143.66 : x
  2. Step 2: Convert to fraction form
    285,230.16/393,602.00 = 156,143.66/x
  3. Step 3: Cross multiply
    285,230.16x = 393,602.00 × 156,143.66
  4. Step 4: Simplify right side
    285,230.16x = 61,458,454,114.59
  5. Step 5: Solve for x
    x = 61,458,454,114.59/285,230.16
  6. Step 6: Final answer
    x = 215,469.69

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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.