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Finding the Fourth Proportional to 392,693.49, 589,040.64 and 112,210.74

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Solution

The fourth proportional to 392,693.49, 589,040.64 and 112,210.74 is: 168,316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,693.49 : 589,040.64 = 112,210.74 : x
  2. Step 2: Convert to fraction form
    392,693.49/589,040.64 = 112,210.74/x
  3. Step 3: Cross multiply
    392,693.49x = 589,040.64 × 112,210.74
  4. Step 4: Simplify right side
    392,693.49x = 66,096,686,104.47
  5. Step 5: Solve for x
    x = 66,096,686,104.47/392,693.49
  6. Step 6: Final answer
    x = 168,316.23

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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.