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Finding the Fourth Proportional to 429,959.12, 644,938.02 and 193,025.03

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Solution

The fourth proportional to 429,959.12, 644,938.02 and 193,025.03 is: 289,537.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,959.12 : 644,938.02 = 193,025.03 : x
  2. Step 2: Convert to fraction form
    429,959.12/644,938.02 = 193,025.03/x
  3. Step 3: Cross multiply
    429,959.12x = 644,938.02 × 193,025.03
  4. Step 4: Simplify right side
    429,959.12x = 124,489,177,433.95
  5. Step 5: Solve for x
    x = 124,489,177,433.95/429,959.12
  6. Step 6: Final answer
    x = 289,537.24

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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.