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Finding the Fourth Proportional to 382,129.69, 572,406.50 and 223,878.01

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Solution

The fourth proportional to 382,129.69, 572,406.50 and 223,878.01 is: 335,355.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,129.69 : 572,406.50 = 223,878.01 : x
  2. Step 2: Convert to fraction form
    382,129.69/572,406.50 = 223,878.01/x
  3. Step 3: Cross multiply
    382,129.69x = 572,406.50 × 223,878.01
  4. Step 4: Simplify right side
    382,129.69x = 128,149,227,011.68
  5. Step 5: Solve for x
    x = 128,149,227,011.68/382,129.69
  6. Step 6: Final answer
    x = 335,355.33

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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.