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Finding the Fourth Proportional to 345,808.24, 477,228.72 and 194,902

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Solution

The fourth proportional to 345,808.24, 477,228.72 and 194,902 is: 268,972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,808.24 : 477,228.72 = 194,902 : x
  2. Step 2: Convert to fraction form
    345,808.24/477,228.72 = 194,902/x
  3. Step 3: Cross multiply
    345,808.24x = 477,228.72 × 194,902
  4. Step 4: Simplify right side
    345,808.24x = 93,012,831,985.44
  5. Step 5: Solve for x
    x = 93,012,831,985.44/345,808.24
  6. Step 6: Final answer
    x = 268,972.28

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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.