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Finding the Fourth Proportional to 197,894.40, 296,812.80 and 57,638.40

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Solution

The fourth proportional to 197,894.40, 296,812.80 and 57,638.40 is: 86,449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,894.40 : 296,812.80 = 57,638.40 : x
  2. Step 2: Convert to fraction form
    197,894.40/296,812.80 = 57,638.40/x
  3. Step 3: Cross multiply
    197,894.40x = 296,812.80 × 57,638.40
  4. Step 4: Simplify right side
    197,894.40x = 17,107,814,891.52
  5. Step 5: Solve for x
    x = 17,107,814,891.52/197,894.40
  6. Step 6: Final answer
    x = 86,449.21

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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.