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Finding the Fourth Proportional to 314,974.41, 472,463.39 and 78,317.11

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Solution

The fourth proportional to 314,974.41, 472,463.39 and 78,317.11 is: 117,476.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,974.41 : 472,463.39 = 78,317.11 : x
  2. Step 2: Convert to fraction form
    314,974.41/472,463.39 = 78,317.11/x
  3. Step 3: Cross multiply
    314,974.41x = 472,463.39 × 78,317.11
  4. Step 4: Simplify right side
    314,974.41x = 37,001,967,285.60
  5. Step 5: Solve for x
    x = 37,001,967,285.60/314,974.41
  6. Step 6: Final answer
    x = 117,476.11

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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.