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Finding the Fourth Proportional to 393,251, 589,878.66 and 97,763

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Solution

The fourth proportional to 393,251, 589,878.66 and 97,763 is: 146,645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,251 : 589,878.66 = 97,763 : x
  2. Step 2: Convert to fraction form
    393,251/589,878.66 = 97,763/x
  3. Step 3: Cross multiply
    393,251x = 589,878.66 × 97,763
  4. Step 4: Simplify right side
    393,251x = 57,668,307,437.58
  5. Step 5: Solve for x
    x = 57,668,307,437.58/393,251
  6. Step 6: Final answer
    x = 146,645.04

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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.