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Finding the Fourth Proportional to 381,355.20, 571,808.43 and 144,714.48

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Solution

The fourth proportional to 381,355.20, 571,808.43 and 144,714.48 is: 216,986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,355.20 : 571,808.43 = 144,714.48 : x
  2. Step 2: Convert to fraction form
    381,355.20/571,808.43 = 144,714.48/x
  3. Step 3: Cross multiply
    381,355.20x = 571,808.43 × 144,714.48
  4. Step 4: Simplify right side
    381,355.20x = 82,748,959,607.07
  5. Step 5: Solve for x
    x = 82,748,959,607.07/381,355.20
  6. Step 6: Final answer
    x = 216,986.58

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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.