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Finding the Fourth Proportional to 292,811.60, 439,289.40 and 82,446.80

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Solution

The fourth proportional to 292,811.60, 439,289.40 and 82,446.80 is: 123,690.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,811.60 : 439,289.40 = 82,446.80 : x
  2. Step 2: Convert to fraction form
    292,811.60/439,289.40 = 82,446.80/x
  3. Step 3: Cross multiply
    292,811.60x = 439,289.40 × 82,446.80
  4. Step 4: Simplify right side
    292,811.60x = 36,218,005,303.92
  5. Step 5: Solve for x
    x = 36,218,005,303.92/292,811.60
  6. Step 6: Final answer
    x = 123,690.47

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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.