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Finding the Fourth Proportional to 394,435.20, 592,041.60 and 194,980.80

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Solution

The fourth proportional to 394,435.20, 592,041.60 and 194,980.80 is: 292,663.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,435.20 : 592,041.60 = 194,980.80 : x
  2. Step 2: Convert to fraction form
    394,435.20/592,041.60 = 194,980.80/x
  3. Step 3: Cross multiply
    394,435.20x = 592,041.60 × 194,980.80
  4. Step 4: Simplify right side
    394,435.20x = 115,436,744,801.28
  5. Step 5: Solve for x
    x = 115,436,744,801.28/394,435.20
  6. Step 6: Final answer
    x = 292,663.40

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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.