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Finding the Fourth Proportional to 314,728.76, 472,180.74 and 137,251.40

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Solution

The fourth proportional to 314,728.76, 472,180.74 and 137,251.40 is: 205,915.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,728.76 : 472,180.74 = 137,251.40 : x
  2. Step 2: Convert to fraction form
    314,728.76/472,180.74 = 137,251.40/x
  3. Step 3: Cross multiply
    314,728.76x = 472,180.74 × 137,251.40
  4. Step 4: Simplify right side
    314,728.76x = 64,807,467,618.04
  5. Step 5: Solve for x
    x = 64,807,467,618.04/314,728.76
  6. Step 6: Final answer
    x = 205,915.30

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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.