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Finding the Fourth Proportional to 393,191.55, 589,673.21 and 153,252

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Solution

The fourth proportional to 393,191.55, 589,673.21 and 153,252 is: 229,833.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,191.55 : 589,673.21 = 153,252 : x
  2. Step 2: Convert to fraction form
    393,191.55/589,673.21 = 153,252/x
  3. Step 3: Cross multiply
    393,191.55x = 589,673.21 × 153,252
  4. Step 4: Simplify right side
    393,191.55x = 90,368,598,012.66
  5. Step 5: Solve for x
    x = 90,368,598,012.66/393,191.55
  6. Step 6: Final answer
    x = 229,833.52

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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.