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Finding the Fourth Proportional to 390,043.68, 584,949.60 and 165,400.80

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Solution

The fourth proportional to 390,043.68, 584,949.60 and 165,400.80 is: 248,052.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,043.68 : 584,949.60 = 165,400.80 : x
  2. Step 2: Convert to fraction form
    390,043.68/584,949.60 = 165,400.80/x
  3. Step 3: Cross multiply
    390,043.68x = 584,949.60 × 165,400.80
  4. Step 4: Simplify right side
    390,043.68x = 96,751,131,799.68
  5. Step 5: Solve for x
    x = 96,751,131,799.68/390,043.68
  6. Step 6: Final answer
    x = 248,052.04

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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.