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Finding the Fourth Proportional to 278,663.74, 417,913.54 and 79,001.57

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Solution

The fourth proportional to 278,663.74, 417,913.54 and 79,001.57 is: 118,479.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,663.74 : 417,913.54 = 79,001.57 : x
  2. Step 2: Convert to fraction form
    278,663.74/417,913.54 = 79,001.57/x
  3. Step 3: Cross multiply
    278,663.74x = 417,913.54 × 79,001.57
  4. Step 4: Simplify right side
    278,663.74x = 33,015,825,784.26
  5. Step 5: Solve for x
    x = 33,015,825,784.26/278,663.74
  6. Step 6: Final answer
    x = 118,479.09

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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.