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Finding the Fourth Proportional to 278,045.74, 417,004.62 and 165,757.60

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Solution

The fourth proportional to 278,045.74, 417,004.62 and 165,757.60 is: 248,598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,045.74 : 417,004.62 = 165,757.60 : x
  2. Step 2: Convert to fraction form
    278,045.74/417,004.62 = 165,757.60/x
  3. Step 3: Cross multiply
    278,045.74x = 417,004.62 × 165,757.60
  4. Step 4: Simplify right side
    278,045.74x = 69,121,685,000.11
  5. Step 5: Solve for x
    x = 69,121,685,000.11/278,045.74
  6. Step 6: Final answer
    x = 248,598.25

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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.