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Finding the Fourth Proportional to 315,781, 435,972.18 and 202,802.92

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Solution

The fourth proportional to 315,781, 435,972.18 and 202,802.92 is: 279,992.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,781 : 435,972.18 = 202,802.92 : x
  2. Step 2: Convert to fraction form
    315,781/435,972.18 = 202,802.92/x
  3. Step 3: Cross multiply
    315,781x = 435,972.18 × 202,802.92
  4. Step 4: Simplify right side
    315,781x = 88,416,431,142.77
  5. Step 5: Solve for x
    x = 88,416,431,142.77/315,781
  6. Step 6: Final answer
    x = 279,992.88

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