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Finding the Fourth Proportional to 294,809.60, 442,214.40 and 81,577.10

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Solution

The fourth proportional to 294,809.60, 442,214.40 and 81,577.10 is: 122,365.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,809.60 : 442,214.40 = 81,577.10 : x
  2. Step 2: Convert to fraction form
    294,809.60/442,214.40 = 81,577.10/x
  3. Step 3: Cross multiply
    294,809.60x = 442,214.40 × 81,577.10
  4. Step 4: Simplify right side
    294,809.60x = 36,074,568,330.24
  5. Step 5: Solve for x
    x = 36,074,568,330.24/294,809.60
  6. Step 6: Final answer
    x = 122,365.65

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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.