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Finding the Fourth Proportional to 314,990.73, 472,488 and 78,333.44

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Solution

The fourth proportional to 314,990.73, 472,488 and 78,333.44 is: 117,500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,990.73 : 472,488 = 78,333.44 : x
  2. Step 2: Convert to fraction form
    314,990.73/472,488 = 78,333.44/x
  3. Step 3: Cross multiply
    314,990.73x = 472,488 × 78,333.44
  4. Step 4: Simplify right side
    314,990.73x = 37,011,608,036.28
  5. Step 5: Solve for x
    x = 37,011,608,036.28/314,990.73
  6. Step 6: Final answer
    x = 117,500.63

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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.