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Finding the Fourth Proportional to 429,766.20, 644,649.30 and 335,287.80

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Solution

The fourth proportional to 429,766.20, 644,649.30 and 335,287.80 is: 502,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,766.20 : 644,649.30 = 335,287.80 : x
  2. Step 2: Convert to fraction form
    429,766.20/644,649.30 = 335,287.80/x
  3. Step 3: Cross multiply
    429,766.20x = 644,649.30 × 335,287.80
  4. Step 4: Simplify right side
    429,766.20x = 216,143,045,568.54
  5. Step 5: Solve for x
    x = 216,143,045,568.54/429,766.20
  6. Step 6: Final answer
    x = 502,931.70

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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.