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Finding the Fourth Proportional to 278,501.83, 417,806.46 and 118,574.84

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Solution

The fourth proportional to 278,501.83, 417,806.46 and 118,574.84 is: 177,885.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,501.83 : 417,806.46 = 118,574.84 : x
  2. Step 2: Convert to fraction form
    278,501.83/417,806.46 = 118,574.84/x
  3. Step 3: Cross multiply
    278,501.83x = 417,806.46 × 118,574.84
  4. Step 4: Simplify right side
    278,501.83x = 49,541,335,189.98
  5. Step 5: Solve for x
    x = 49,541,335,189.98/278,501.83
  6. Step 6: Final answer
    x = 177,885.14

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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.