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Finding the Fourth Proportional to 641,906.60, 962,082.30 and 286,543.40

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Solution

The fourth proportional to 641,906.60, 962,082.30 and 286,543.40 is: 429,467.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,906.60 : 962,082.30 = 286,543.40 : x
  2. Step 2: Convert to fraction form
    641,906.60/962,082.30 = 286,543.40/x
  3. Step 3: Cross multiply
    641,906.60x = 962,082.30 × 286,543.40
  4. Step 4: Simplify right side
    641,906.60x = 275,678,333,321.82
  5. Step 5: Solve for x
    x = 275,678,333,321.82/641,906.60
  6. Step 6: Final answer
    x = 429,467.98

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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.