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Finding the Fourth Proportional to 278,271.84, 417,464.10 and 118,347.42

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Solution

The fourth proportional to 278,271.84, 417,464.10 and 118,347.42 is: 177,545.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,271.84 : 417,464.10 = 118,347.42 : x
  2. Step 2: Convert to fraction form
    278,271.84/417,464.10 = 118,347.42/x
  3. Step 3: Cross multiply
    278,271.84x = 417,464.10 × 118,347.42
  4. Step 4: Simplify right side
    278,271.84x = 49,405,799,177.62
  5. Step 5: Solve for x
    x = 49,405,799,177.62/278,271.84
  6. Step 6: Final answer
    x = 177,545.09

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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.