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Finding the Fourth Proportional to 278,775.60, 384,709.68 and 151,450.08

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Solution

The fourth proportional to 278,775.60, 384,709.68 and 151,450.08 is: 209,000.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,775.60 : 384,709.68 = 151,450.08 : x
  2. Step 2: Convert to fraction form
    278,775.60/384,709.68 = 151,450.08/x
  3. Step 3: Cross multiply
    278,775.60x = 384,709.68 × 151,450.08
  4. Step 4: Simplify right side
    278,775.60x = 58,264,311,812.77
  5. Step 5: Solve for x
    x = 58,264,311,812.77/278,775.60
  6. Step 6: Final answer
    x = 209,000.76

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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.