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Finding the Fourth Proportional to 310,211.28, 464,968 and 157,981.28

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Solution

The fourth proportional to 310,211.28, 464,968 and 157,981.28 is: 236,794.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,211.28 : 464,968 = 157,981.28 : x
  2. Step 2: Convert to fraction form
    310,211.28/464,968 = 157,981.28/x
  3. Step 3: Cross multiply
    310,211.28x = 464,968 × 157,981.28
  4. Step 4: Simplify right side
    310,211.28x = 73,456,239,799.04
  5. Step 5: Solve for x
    x = 73,456,239,799.04/310,211.28
  6. Step 6: Final answer
    x = 236,794.23

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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.