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Finding the Fourth Proportional to 371,956.76, 513,299.94 and 202,192.10

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Solution

The fourth proportional to 371,956.76, 513,299.94 and 202,192.10 is: 279,024.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,956.76 : 513,299.94 = 202,192.10 : x
  2. Step 2: Convert to fraction form
    371,956.76/513,299.94 = 202,192.10/x
  3. Step 3: Cross multiply
    371,956.76x = 513,299.94 × 202,192.10
  4. Step 4: Simplify right side
    371,956.76x = 103,785,192,798.47
  5. Step 5: Solve for x
    x = 103,785,192,798.47/371,956.76
  6. Step 6: Final answer
    x = 279,024.89

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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.