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Finding the Fourth Proportional to 374,168.76, 561,253.13 and 137,409

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Solution

The fourth proportional to 374,168.76, 561,253.13 and 137,409 is: 206,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,168.76 : 561,253.13 = 137,409 : x
  2. Step 2: Convert to fraction form
    374,168.76/561,253.13 = 137,409/x
  3. Step 3: Cross multiply
    374,168.76x = 561,253.13 × 137,409
  4. Step 4: Simplify right side
    374,168.76x = 77,121,231,340.17
  5. Step 5: Solve for x
    x = 77,121,231,340.17/374,168.76
  6. Step 6: Final answer
    x = 206,113.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.