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Finding the Fourth Proportional to 278,464.76, 384,189.90 and 157,594.04

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Solution

The fourth proportional to 278,464.76, 384,189.90 and 157,594.04 is: 217,428.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,464.76 : 384,189.90 = 157,594.04 : x
  2. Step 2: Convert to fraction form
    278,464.76/384,189.90 = 157,594.04/x
  3. Step 3: Cross multiply
    278,464.76x = 384,189.90 × 157,594.04
  4. Step 4: Simplify right side
    278,464.76x = 60,546,038,468.20
  5. Step 5: Solve for x
    x = 60,546,038,468.20/278,464.76
  6. Step 6: Final answer
    x = 217,428.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.