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Finding the Fourth Proportional to 371,957.84, 513,304.80 and 202,191.56

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Solution

The fourth proportional to 371,957.84, 513,304.80 and 202,191.56 is: 279,025.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,957.84 : 513,304.80 = 202,191.56 : x
  2. Step 2: Convert to fraction form
    371,957.84/513,304.80 = 202,191.56/x
  3. Step 3: Cross multiply
    371,957.84x = 513,304.80 × 202,191.56
  4. Step 4: Simplify right side
    371,957.84x = 103,785,898,267.49
  5. Step 5: Solve for x
    x = 103,785,898,267.49/371,957.84
  6. Step 6: Final answer
    x = 279,025.97

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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.