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Finding the Fourth Proportional to 278,902.42, 417,893.88 and 160,673.20

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Solution

The fourth proportional to 278,902.42, 417,893.88 and 160,673.20 is: 240,744.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,902.42 : 417,893.88 = 160,673.20 : x
  2. Step 2: Convert to fraction form
    278,902.42/417,893.88 = 160,673.20/x
  3. Step 3: Cross multiply
    278,902.42x = 417,893.88 × 160,673.20
  4. Step 4: Simplify right side
    278,902.42x = 67,144,346,960.02
  5. Step 5: Solve for x
    x = 67,144,346,960.02/278,902.42
  6. Step 6: Final answer
    x = 240,744.94

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1.5x scale

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.