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Finding the Fourth Proportional to 292,146.11, 438,284.82 and 92,478.48

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Solution

The fourth proportional to 292,146.11, 438,284.82 and 92,478.48 is: 138,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,146.11 : 438,284.82 = 92,478.48 : x
  2. Step 2: Convert to fraction form
    292,146.11/438,284.82 = 92,478.48/x
  3. Step 3: Cross multiply
    292,146.11x = 438,284.82 × 92,478.48
  4. Step 4: Simplify right side
    292,146.11x = 40,531,912,663.90
  5. Step 5: Solve for x
    x = 40,531,912,663.90/292,146.11
  6. Step 6: Final answer
    x = 138,738.50

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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.