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Finding the Fourth Proportional to 292,492.09, 438,764.91 and 82,128.61

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Solution

The fourth proportional to 292,492.09, 438,764.91 and 82,128.61 is: 123,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,492.09 : 438,764.91 = 82,128.61 : x
  2. Step 2: Convert to fraction form
    292,492.09/438,764.91 = 82,128.61/x
  3. Step 3: Cross multiply
    292,492.09x = 438,764.91 × 82,128.61
  4. Step 4: Simplify right side
    292,492.09x = 36,035,152,175.08
  5. Step 5: Solve for x
    x = 36,035,152,175.08/292,492.09
  6. Step 6: Final answer
    x = 123,200.43

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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.