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Finding the Fourth Proportional to 198,388.40, 297,611.76 and 65,243.84

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Solution

The fourth proportional to 198,388.40, 297,611.76 and 65,243.84 is: 97,875.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,388.40 : 297,611.76 = 65,243.84 : x
  2. Step 2: Convert to fraction form
    198,388.40/297,611.76 = 65,243.84/x
  3. Step 3: Cross multiply
    198,388.40x = 297,611.76 × 65,243.84
  4. Step 4: Simplify right side
    198,388.40x = 19,417,334,051.56
  5. Step 5: Solve for x
    x = 19,417,334,051.56/198,388.40
  6. Step 6: Final answer
    x = 97,875.35

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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.