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Finding the Fourth Proportional to 203,046.40, 304,310.40 and 97,638.40

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Solution

The fourth proportional to 203,046.40, 304,310.40 and 97,638.40 is: 146,332.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,046.40 : 304,310.40 = 97,638.40 : x
  2. Step 2: Convert to fraction form
    203,046.40/304,310.40 = 97,638.40/x
  3. Step 3: Cross multiply
    203,046.40x = 304,310.40 × 97,638.40
  4. Step 4: Simplify right side
    203,046.40x = 29,712,380,559.36
  5. Step 5: Solve for x
    x = 29,712,380,559.36/203,046.40
  6. Step 6: Final answer
    x = 146,332.96

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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.