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Finding the Fourth Proportional to 371,742.76, 513,007.14 and 201,978.28

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Solution

The fourth proportional to 371,742.76, 513,007.14 and 201,978.28 is: 278,731.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,742.76 : 513,007.14 = 201,978.28 : x
  2. Step 2: Convert to fraction form
    371,742.76/513,007.14 = 201,978.28/x
  3. Step 3: Cross multiply
    371,742.76x = 513,007.14 × 201,978.28
  4. Step 4: Simplify right side
    371,742.76x = 103,616,299,764.92
  5. Step 5: Solve for x
    x = 103,616,299,764.92/371,742.76
  6. Step 6: Final answer
    x = 278,731.18

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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.