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Finding the Fourth Proportional to 429,502.51, 643,969.41 and 204,897.61

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Solution

The fourth proportional to 429,502.51, 643,969.41 and 204,897.61 is: 307,210.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,502.51 : 643,969.41 = 204,897.61 : x
  2. Step 2: Convert to fraction form
    429,502.51/643,969.41 = 204,897.61/x
  3. Step 3: Cross multiply
    429,502.51x = 643,969.41 × 204,897.61
  4. Step 4: Simplify right side
    429,502.51x = 131,947,793,022.11
  5. Step 5: Solve for x
    x = 131,947,793,022.11/429,502.51
  6. Step 6: Final answer
    x = 307,210.76

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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.