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Finding the Fourth Proportional to 429,820.80, 644,577.60 and 193,276.80

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Solution

The fourth proportional to 429,820.80, 644,577.60 and 193,276.80 is: 289,846.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,820.80 : 644,577.60 = 193,276.80 : x
  2. Step 2: Convert to fraction form
    429,820.80/644,577.60 = 193,276.80/x
  3. Step 3: Cross multiply
    429,820.80x = 644,577.60 × 193,276.80
  4. Step 4: Simplify right side
    429,820.80x = 124,581,895,879.68
  5. Step 5: Solve for x
    x = 124,581,895,879.68/429,820.80
  6. Step 6: Final answer
    x = 289,846.13

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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.