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Finding the Fourth Proportional to 381,544.48, 572,328.90 and 191,901.34

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Solution

The fourth proportional to 381,544.48, 572,328.90 and 191,901.34 is: 287,858.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,544.48 : 572,328.90 = 191,901.34 : x
  2. Step 2: Convert to fraction form
    381,544.48/572,328.90 = 191,901.34/x
  3. Step 3: Cross multiply
    381,544.48x = 572,328.90 × 191,901.34
  4. Step 4: Simplify right side
    381,544.48x = 109,830,682,830.73
  5. Step 5: Solve for x
    x = 109,830,682,830.73/381,544.48
  6. Step 6: Final answer
    x = 287,858.14

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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.