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Finding the Fourth Proportional to 429,620.83, 644,348.21 and 408,283.22

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Solution

The fourth proportional to 429,620.83, 644,348.21 and 408,283.22 is: 612,345.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,620.83 : 644,348.21 = 408,283.22 : x
  2. Step 2: Convert to fraction form
    429,620.83/644,348.21 = 408,283.22/x
  3. Step 3: Cross multiply
    429,620.83x = 644,348.21 × 408,283.22
  4. Step 4: Simplify right side
    429,620.83x = 263,076,561,549.49
  5. Step 5: Solve for x
    x = 263,076,561,549.49/429,620.83
  6. Step 6: Final answer
    x = 612,345.92

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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.