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Finding the Fourth Proportional to 278,689.16, 417,984.51 and 110,153.46

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Solution

The fourth proportional to 278,689.16, 417,984.51 and 110,153.46 is: 165,210.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,689.16 : 417,984.51 = 110,153.46 : x
  2. Step 2: Convert to fraction form
    278,689.16/417,984.51 = 110,153.46/x
  3. Step 3: Cross multiply
    278,689.16x = 417,984.51 × 110,153.46
  4. Step 4: Simplify right side
    278,689.16x = 46,042,440,002.90
  5. Step 5: Solve for x
    x = 46,042,440,002.90/278,689.16
  6. Step 6: Final answer
    x = 165,210.73

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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.