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Finding the Fourth Proportional to 393,091.20, 589,636.80 and 97,603.20

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Solution

The fourth proportional to 393,091.20, 589,636.80 and 97,603.20 is: 146,404.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,091.20 : 589,636.80 = 97,603.20 : x
  2. Step 2: Convert to fraction form
    393,091.20/589,636.80 = 97,603.20/x
  3. Step 3: Cross multiply
    393,091.20x = 589,636.80 × 97,603.20
  4. Step 4: Simplify right side
    393,091.20x = 57,550,438,517.76
  5. Step 5: Solve for x
    x = 57,550,438,517.76/393,091.20
  6. Step 6: Final answer
    x = 146,404.80

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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.