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Finding the Fourth Proportional to 253,927.16, 380,902.88 and 209,471.48

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Solution

The fourth proportional to 253,927.16, 380,902.88 and 209,471.48 is: 314,217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,927.16 : 380,902.88 = 209,471.48 : x
  2. Step 2: Convert to fraction form
    253,927.16/380,902.88 = 209,471.48/x
  3. Step 3: Cross multiply
    253,927.16x = 380,902.88 × 209,471.48
  4. Step 4: Simplify right side
    253,927.16x = 79,788,290,009.86
  5. Step 5: Solve for x
    x = 79,788,290,009.86/253,927.16
  6. Step 6: Final answer
    x = 314,217.23

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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.