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Finding the Fourth Proportional to 326,471.20, 489,123.60 and 266,984.80

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Solution

The fourth proportional to 326,471.20, 489,123.60 and 266,984.80 is: 400,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,471.20 : 489,123.60 = 266,984.80 : x
  2. Step 2: Convert to fraction form
    326,471.20/489,123.60 = 266,984.80/x
  3. Step 3: Cross multiply
    326,471.20x = 489,123.60 × 266,984.80
  4. Step 4: Simplify right side
    326,471.20x = 130,588,566,521.28
  5. Step 5: Solve for x
    x = 130,588,566,521.28/326,471.20
  6. Step 6: Final answer
    x = 400,000.27

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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.