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Finding the Fourth Proportional to 478,055.70, 717,083.55 and 278,601.30

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Solution

The fourth proportional to 478,055.70, 717,083.55 and 278,601.30 is: 417,901.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,055.70 : 717,083.55 = 278,601.30 : x
  2. Step 2: Convert to fraction form
    478,055.70/717,083.55 = 278,601.30/x
  3. Step 3: Cross multiply
    478,055.70x = 717,083.55 × 278,601.30
  4. Step 4: Simplify right side
    478,055.70x = 199,780,409,238.62
  5. Step 5: Solve for x
    x = 199,780,409,238.62/478,055.70
  6. Step 6: Final answer
    x = 417,901.95

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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.