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Finding the Fourth Proportional to 278,892.11, 384,874.08 and 151,567.70

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Solution

The fourth proportional to 278,892.11, 384,874.08 and 151,567.70 is: 209,165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,892.11 : 384,874.08 = 151,567.70 : x
  2. Step 2: Convert to fraction form
    278,892.11/384,874.08 = 151,567.70/x
  3. Step 3: Cross multiply
    278,892.11x = 384,874.08 × 151,567.70
  4. Step 4: Simplify right side
    278,892.11x = 58,334,479,095.22
  5. Step 5: Solve for x
    x = 58,334,479,095.22/278,892.11
  6. Step 6: Final answer
    x = 209,165.04

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1.5x scale

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.