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Finding the Fourth Proportional to 641,230.61, 961,896 and 214,768.04

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Solution

The fourth proportional to 641,230.61, 961,896 and 214,768.04 is: 322,168.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,230.61 : 961,896 = 214,768.04 : x
  2. Step 2: Convert to fraction form
    641,230.61/961,896 = 214,768.04/x
  3. Step 3: Cross multiply
    641,230.61x = 961,896 × 214,768.04
  4. Step 4: Simplify right side
    641,230.61x = 206,584,518,603.84
  5. Step 5: Solve for x
    x = 206,584,518,603.84/641,230.61
  6. Step 6: Final answer
    x = 322,168.84

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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.