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Finding the Fourth Proportional to 382,406.67, 527,733.99 and 210,331.89

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Solution

The fourth proportional to 382,406.67, 527,733.99 and 210,331.89 is: 290,265.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,406.67 : 527,733.99 = 210,331.89 : x
  2. Step 2: Convert to fraction form
    382,406.67/527,733.99 = 210,331.89/x
  3. Step 3: Cross multiply
    382,406.67x = 527,733.99 × 210,331.89
  4. Step 4: Simplify right side
    382,406.67x = 110,999,287,533.94
  5. Step 5: Solve for x
    x = 110,999,287,533.94/382,406.67
  6. Step 6: Final answer
    x = 290,265.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.