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Finding the Fourth Proportional to 278,034.18, 416,987.31 and 165,746.10

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Solution

The fourth proportional to 278,034.18, 416,987.31 and 165,746.10 is: 248,581.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,034.18 : 416,987.31 = 165,746.10 : x
  2. Step 2: Convert to fraction form
    278,034.18/416,987.31 = 165,746.10/x
  3. Step 3: Cross multiply
    278,034.18x = 416,987.31 × 165,746.10
  4. Step 4: Simplify right side
    278,034.18x = 69,114,020,381.99
  5. Step 5: Solve for x
    x = 69,114,020,381.99/278,034.18
  6. Step 6: Final answer
    x = 248,581.02

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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.