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Finding the Fourth Proportional to 278,779.90, 384,724.18 and 151,463.28

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Solution

The fourth proportional to 278,779.90, 384,724.18 and 151,463.28 is: 209,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,779.90 : 384,724.18 = 151,463.28 : x
  2. Step 2: Convert to fraction form
    278,779.90/384,724.18 = 151,463.28/x
  3. Step 3: Cross multiply
    278,779.90x = 384,724.18 × 151,463.28
  4. Step 4: Simplify right side
    278,779.90x = 58,271,586,198.11
  5. Step 5: Solve for x
    x = 58,271,586,198.11/278,779.90
  6. Step 6: Final answer
    x = 209,023.63

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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.