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Finding the Fourth Proportional to 292,298.20, 438,447.30 and 81,971.80

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Solution

The fourth proportional to 292,298.20, 438,447.30 and 81,971.80 is: 122,957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,298.20 : 438,447.30 = 81,971.80 : x
  2. Step 2: Convert to fraction form
    292,298.20/438,447.30 = 81,971.80/x
  3. Step 3: Cross multiply
    292,298.20x = 438,447.30 × 81,971.80
  4. Step 4: Simplify right side
    292,298.20x = 35,940,314,386.14
  5. Step 5: Solve for x
    x = 35,940,314,386.14/292,298.20
  6. Step 6: Final answer
    x = 122,957.70

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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.