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Finding the Fourth Proportional to 278,130.54, 417,211.95 and 107,353.20

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Solution

The fourth proportional to 278,130.54, 417,211.95 and 107,353.20 is: 161,036.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,130.54 : 417,211.95 = 107,353.20 : x
  2. Step 2: Convert to fraction form
    278,130.54/417,211.95 = 107,353.20/x
  3. Step 3: Cross multiply
    278,130.54x = 417,211.95 × 107,353.20
  4. Step 4: Simplify right side
    278,130.54x = 44,789,037,910.74
  5. Step 5: Solve for x
    x = 44,789,037,910.74/278,130.54
  6. Step 6: Final answer
    x = 161,036.03

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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.