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Finding the Fourth Proportional to 342,194.40, 512,708.40 and 292,039.20

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Solution

The fourth proportional to 342,194.40, 512,708.40 and 292,039.20 is: 437,561.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,194.40 : 512,708.40 = 292,039.20 : x
  2. Step 2: Convert to fraction form
    342,194.40/512,708.40 = 292,039.20/x
  3. Step 3: Cross multiply
    342,194.40x = 512,708.40 × 292,039.20
  4. Step 4: Simplify right side
    342,194.40x = 149,730,950,969.28
  5. Step 5: Solve for x
    x = 149,730,950,969.28/342,194.40
  6. Step 6: Final answer
    x = 437,561.08

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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.