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Finding the Fourth Proportional to 429,604.19, 644,969.42 and 288,082.73

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Solution

The fourth proportional to 429,604.19, 644,969.42 and 288,082.73 is: 432,501.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,604.19 : 644,969.42 = 288,082.73 : x
  2. Step 2: Convert to fraction form
    429,604.19/644,969.42 = 288,082.73/x
  3. Step 3: Cross multiply
    429,604.19x = 644,969.42 × 288,082.73
  4. Step 4: Simplify right side
    429,604.19x = 185,804,548,055.27
  5. Step 5: Solve for x
    x = 185,804,548,055.27/429,604.19
  6. Step 6: Final answer
    x = 432,501.72

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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.