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Finding the Fourth Proportional to 429,641.70, 643,480.89 and 205,159.38

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Solution

The fourth proportional to 429,641.70, 643,480.89 and 205,159.38 is: 307,270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,641.70 : 643,480.89 = 205,159.38 : x
  2. Step 2: Convert to fraction form
    429,641.70/643,480.89 = 205,159.38/x
  3. Step 3: Cross multiply
    429,641.70x = 643,480.89 × 205,159.38
  4. Step 4: Simplify right side
    429,641.70x = 132,016,140,434.25
  5. Step 5: Solve for x
    x = 132,016,140,434.25/429,641.70
  6. Step 6: Final answer
    x = 307,270.31

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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.