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Finding the Fourth Proportional to 392,802.30, 589,257.84 and 140,008.32

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Solution

The fourth proportional to 392,802.30, 589,257.84 and 140,008.32 is: 210,031.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,802.30 : 589,257.84 = 140,008.32 : x
  2. Step 2: Convert to fraction form
    392,802.30/589,257.84 = 140,008.32/x
  3. Step 3: Cross multiply
    392,802.30x = 589,257.84 × 140,008.32
  4. Step 4: Simplify right side
    392,802.30x = 82,501,000,225.23
  5. Step 5: Solve for x
    x = 82,501,000,225.23/392,802.30
  6. Step 6: Final answer
    x = 210,031.87

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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.