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Finding the Fourth Proportional to 314,557.70, 472,132.83 and 209,449.94

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Solution

The fourth proportional to 314,557.70, 472,132.83 and 209,449.94 is: 314,372.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,557.70 : 472,132.83 = 209,449.94 : x
  2. Step 2: Convert to fraction form
    314,557.70/472,132.83 = 209,449.94/x
  3. Step 3: Cross multiply
    314,557.70x = 472,132.83 × 209,449.94
  4. Step 4: Simplify right side
    314,557.70x = 98,888,192,915.53
  5. Step 5: Solve for x
    x = 98,888,192,915.53/314,557.70
  6. Step 6: Final answer
    x = 314,372.19

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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.