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Finding the Fourth Proportional to 429,156.93, 643,735.41 and 228,870.54

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Solution

The fourth proportional to 429,156.93, 643,735.41 and 228,870.54 is: 343,305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,156.93 : 643,735.41 = 228,870.54 : x
  2. Step 2: Convert to fraction form
    429,156.93/643,735.41 = 228,870.54/x
  3. Step 3: Cross multiply
    429,156.93x = 643,735.41 × 228,870.54
  4. Step 4: Simplify right side
    429,156.93x = 147,332,070,903.82
  5. Step 5: Solve for x
    x = 147,332,070,903.82/429,156.93
  6. Step 6: Final answer
    x = 343,305.82

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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.