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Finding the Fourth Proportional to 429,157.31, 643,735.97 and 228,870.90

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Solution

The fourth proportional to 429,157.31, 643,735.97 and 228,870.90 is: 343,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,157.31 : 643,735.97 = 228,870.90 : x
  2. Step 2: Convert to fraction form
    429,157.31/643,735.97 = 228,870.90/x
  3. Step 3: Cross multiply
    429,157.31x = 643,735.97 × 228,870.90
  4. Step 4: Simplify right side
    429,157.31x = 147,332,429,671.92
  5. Step 5: Solve for x
    x = 147,332,429,671.92/429,157.31
  6. Step 6: Final answer
    x = 343,306.35

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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.