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Finding the Fourth Proportional to 278,485.80, 417,689.34 and 91,473

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Solution

The fourth proportional to 278,485.80, 417,689.34 and 91,473 is: 137,196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,485.80 : 417,689.34 = 91,473 : x
  2. Step 2: Convert to fraction form
    278,485.80/417,689.34 = 91,473/x
  3. Step 3: Cross multiply
    278,485.80x = 417,689.34 × 91,473
  4. Step 4: Simplify right side
    278,485.80x = 38,207,296,997.82
  5. Step 5: Solve for x
    x = 38,207,296,997.82/278,485.80
  6. Step 6: Final answer
    x = 137,196.57

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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.