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Finding the Fourth Proportional to 641,267.53, 961,900.54 and 257,189.69

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Solution

The fourth proportional to 641,267.53, 961,900.54 and 257,189.69 is: 385,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,267.53 : 961,900.54 = 257,189.69 : x
  2. Step 2: Convert to fraction form
    641,267.53/961,900.54 = 257,189.69/x
  3. Step 3: Cross multiply
    641,267.53x = 961,900.54 × 257,189.69
  4. Step 4: Simplify right side
    641,267.53x = 247,390,901,693.43
  5. Step 5: Solve for x
    x = 247,390,901,693.43/641,267.53
  6. Step 6: Final answer
    x = 385,784.23

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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.