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Finding the Fourth Proportional to 536,471.80, 803,541.30 and 326,519.80

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Solution

The fourth proportional to 536,471.80, 803,541.30 and 326,519.80 is: 489,069.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,471.80 : 803,541.30 = 326,519.80 : x
  2. Step 2: Convert to fraction form
    536,471.80/803,541.30 = 326,519.80/x
  3. Step 3: Cross multiply
    536,471.80x = 803,541.30 × 326,519.80
  4. Step 4: Simplify right side
    536,471.80x = 262,372,144,567.74
  5. Step 5: Solve for x
    x = 262,372,144,567.74/536,471.80
  6. Step 6: Final answer
    x = 489,069.78

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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.