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Finding the Fourth Proportional to 429,263.84, 643,195.56 and 218,612

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Solution

The fourth proportional to 429,263.84, 643,195.56 and 218,612 is: 327,561.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,263.84 : 643,195.56 = 218,612 : x
  2. Step 2: Convert to fraction form
    429,263.84/643,195.56 = 218,612/x
  3. Step 3: Cross multiply
    429,263.84x = 643,195.56 × 218,612
  4. Step 4: Simplify right side
    429,263.84x = 140,610,267,762.72
  5. Step 5: Solve for x
    x = 140,610,267,762.72/429,263.84
  6. Step 6: Final answer
    x = 327,561.41

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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.