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Finding the Fourth Proportional to 641,430, 962,144.98 and 295,178.52

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Solution

The fourth proportional to 641,430, 962,144.98 and 295,178.52 is: 442,767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,430 : 962,144.98 = 295,178.52 : x
  2. Step 2: Convert to fraction form
    641,430/962,144.98 = 295,178.52/x
  3. Step 3: Cross multiply
    641,430x = 962,144.98 × 295,178.52
  4. Step 4: Simplify right side
    641,430x = 284,004,530,483.88
  5. Step 5: Solve for x
    x = 284,004,530,483.88/641,430
  6. Step 6: Final answer
    x = 442,767.77

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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.