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Finding the Fourth Proportional to 392,739.74, 589,155.74 and 140,056.16

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Solution

The fourth proportional to 392,739.74, 589,155.74 and 140,056.16 is: 210,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,739.74 : 589,155.74 = 140,056.16 : x
  2. Step 2: Convert to fraction form
    392,739.74/589,155.74 = 140,056.16/x
  3. Step 3: Cross multiply
    392,739.74x = 589,155.74 × 140,056.16
  4. Step 4: Simplify right side
    392,739.74x = 82,514,888,253.33
  5. Step 5: Solve for x
    x = 82,514,888,253.33/392,739.74
  6. Step 6: Final answer
    x = 210,100.69

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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.