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Finding the Fourth Proportional to 393,128.76, 589,693.12 and 112,646

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Solution

The fourth proportional to 393,128.76, 589,693.12 and 112,646 is: 168,968.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,128.76 : 589,693.12 = 112,646 : x
  2. Step 2: Convert to fraction form
    393,128.76/589,693.12 = 112,646/x
  3. Step 3: Cross multiply
    393,128.76x = 589,693.12 × 112,646
  4. Step 4: Simplify right side
    393,128.76x = 66,426,571,195.52
  5. Step 5: Solve for x
    x = 66,426,571,195.52/393,128.76
  6. Step 6: Final answer
    x = 168,968.99

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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.