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Finding the Fourth Proportional to 310,803.14, 428,976.25 and 197,603.78

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Solution

The fourth proportional to 310,803.14, 428,976.25 and 197,603.78 is: 272,736.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,803.14 : 428,976.25 = 197,603.78 : x
  2. Step 2: Convert to fraction form
    310,803.14/428,976.25 = 197,603.78/x
  3. Step 3: Cross multiply
    310,803.14x = 428,976.25 × 197,603.78
  4. Step 4: Simplify right side
    310,803.14x = 84,767,328,530.23
  5. Step 5: Solve for x
    x = 84,767,328,530.23/310,803.14
  6. Step 6: Final answer
    x = 272,736.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.