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Finding the Fourth Proportional to 643,793,648.40, 965,690,472.60 and 234,863,139.60

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Solution

The fourth proportional to 643,793,648.40, 965,690,472.60 and 234,863,139.60 is: 352,294,709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,793,648.40 : 965,690,472.60 = 234,863,139.60 : x
  2. Step 2: Convert to fraction form
    643,793,648.40/965,690,472.60 = 234,863,139.60/x
  3. Step 3: Cross multiply
    643,793,648.40x = 965,690,472.60 × 234,863,139.60
  4. Step 4: Simplify right side
    643,793,648.40x = 226,805,096,276,643,776
  5. Step 5: Solve for x
    x = 226,805,096,276,643,776/643,793,648.40
  6. Step 6: Final answer
    x = 352,294,709.40

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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.