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Finding the Fourth Proportional to 292,049.68, 438,128.52 and 92,420.32

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Solution

The fourth proportional to 292,049.68, 438,128.52 and 92,420.32 is: 138,647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,049.68 : 438,128.52 = 92,420.32 : x
  2. Step 2: Convert to fraction form
    292,049.68/438,128.52 = 92,420.32/x
  3. Step 3: Cross multiply
    292,049.68x = 438,128.52 × 92,420.32
  4. Step 4: Simplify right side
    292,049.68x = 40,491,978,019.53
  5. Step 5: Solve for x
    x = 40,491,978,019.53/292,049.68
  6. Step 6: Final answer
    x = 138,647.57

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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.