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Finding the Fourth Proportional to 393,199, 589,798.54 and 97,711

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Solution

The fourth proportional to 393,199, 589,798.54 and 97,711 is: 146,566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,199 : 589,798.54 = 97,711 : x
  2. Step 2: Convert to fraction form
    393,199/589,798.54 = 97,711/x
  3. Step 3: Cross multiply
    393,199x = 589,798.54 × 97,711
  4. Step 4: Simplify right side
    393,199x = 57,629,805,141.94
  5. Step 5: Solve for x
    x = 57,629,805,141.94/393,199
  6. Step 6: Final answer
    x = 146,566.51

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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.