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Finding the Fourth Proportional to 292,046.40, 438,037.20 and 81,705.60

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Solution

The fourth proportional to 292,046.40, 438,037.20 and 81,705.60 is: 122,549.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,046.40 : 438,037.20 = 81,705.60 : x
  2. Step 2: Convert to fraction form
    292,046.40/438,037.20 = 81,705.60/x
  3. Step 3: Cross multiply
    292,046.40x = 438,037.20 × 81,705.60
  4. Step 4: Simplify right side
    292,046.40x = 35,790,092,248.32
  5. Step 5: Solve for x
    x = 35,790,092,248.32/292,046.40
  6. Step 6: Final answer
    x = 122,549.34

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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.