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Finding the Fourth Proportional to 278,313.15, 417,484.01 and 78,647.95

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Solution

The fourth proportional to 278,313.15, 417,484.01 and 78,647.95 is: 117,975.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,313.15 : 417,484.01 = 78,647.95 : x
  2. Step 2: Convert to fraction form
    278,313.15/417,484.01 = 78,647.95/x
  3. Step 3: Cross multiply
    278,313.15x = 417,484.01 × 78,647.95
  4. Step 4: Simplify right side
    278,313.15x = 32,834,261,544.28
  5. Step 5: Solve for x
    x = 32,834,261,544.28/278,313.15
  6. Step 6: Final answer
    x = 117,975.96

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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.