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Finding the Fourth Proportional to 292,045.36, 438,122.12 and 92,416

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Solution

The fourth proportional to 292,045.36, 438,122.12 and 92,416 is: 138,641.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,045.36 : 438,122.12 = 92,416 : x
  2. Step 2: Convert to fraction form
    292,045.36/438,122.12 = 92,416/x
  3. Step 3: Cross multiply
    292,045.36x = 438,122.12 × 92,416
  4. Step 4: Simplify right side
    292,045.36x = 40,489,493,841.92
  5. Step 5: Solve for x
    x = 40,489,493,841.92/292,045.36
  6. Step 6: Final answer
    x = 138,641.11

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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.