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Finding the Fourth Proportional to 643,793,188.40, 965,689,782.60 and 234,862,679.60

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Solution

The fourth proportional to 643,793,188.40, 965,689,782.60 and 234,862,679.60 is: 352,294,019.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,793,188.40 : 965,689,782.60 = 234,862,679.60 : x
  2. Step 2: Convert to fraction form
    643,793,188.40/965,689,782.60 = 234,862,679.60/x
  3. Step 3: Cross multiply
    643,793,188.40x = 965,689,782.60 × 234,862,679.60
  4. Step 4: Simplify right side
    643,793,188.40x = 226,804,490,003,777,440
  5. Step 5: Solve for x
    x = 226,804,490,003,777,440/643,793,188.40
  6. Step 6: Final answer
    x = 352,294,019.40

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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.