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Finding the Fourth Proportional to 392,718.60, 589,090.68 and 108,430.46

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Solution

The fourth proportional to 392,718.60, 589,090.68 and 108,430.46 is: 162,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,718.60 : 589,090.68 = 108,430.46 : x
  2. Step 2: Convert to fraction form
    392,718.60/589,090.68 = 108,430.46/x
  3. Step 3: Cross multiply
    392,718.60x = 589,090.68 × 108,430.46
  4. Step 4: Simplify right side
    392,718.60x = 63,875,373,414.11
  5. Step 5: Solve for x
    x = 63,875,373,414.11/392,718.60
  6. Step 6: Final answer
    x = 162,649.22

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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.