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Finding the Fourth Proportional to 392,870.42, 589,343.61 and 156,159.98

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Solution

The fourth proportional to 392,870.42, 589,343.61 and 156,159.98 is: 234,255.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,870.42 : 589,343.61 = 156,159.98 : x
  2. Step 2: Convert to fraction form
    392,870.42/589,343.61 = 156,159.98/x
  3. Step 3: Cross multiply
    392,870.42x = 589,343.61 × 156,159.98
  4. Step 4: Simplify right side
    392,870.42x = 92,031,886,350.73
  5. Step 5: Solve for x
    x = 92,031,886,350.73/392,870.42
  6. Step 6: Final answer
    x = 234,255.07

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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.