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Finding the Fourth Proportional to 278,569.56, 417,798.92 and 136,353.74

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Solution

The fourth proportional to 278,569.56, 417,798.92 and 136,353.74 is: 204,503.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,569.56 : 417,798.92 = 136,353.74 : x
  2. Step 2: Convert to fraction form
    278,569.56/417,798.92 = 136,353.74/x
  3. Step 3: Cross multiply
    278,569.56x = 417,798.92 × 136,353.74
  4. Step 4: Simplify right side
    278,569.56x = 56,968,445,309.96
  5. Step 5: Solve for x
    x = 56,968,445,309.96/278,569.56
  6. Step 6: Final answer
    x = 204,503.48

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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.