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Finding the Fourth Proportional to 278,276.88, 417,095.32 and 120,346.64

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Solution

The fourth proportional to 278,276.88, 417,095.32 and 120,346.64 is: 180,381.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,276.88 : 417,095.32 = 120,346.64 : x
  2. Step 2: Convert to fraction form
    278,276.88/417,095.32 = 120,346.64/x
  3. Step 3: Cross multiply
    278,276.88x = 417,095.32 × 120,346.64
  4. Step 4: Simplify right side
    278,276.88x = 50,196,020,321.72
  5. Step 5: Solve for x
    x = 50,196,020,321.72/278,276.88
  6. Step 6: Final answer
    x = 180,381.57

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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.