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Finding the Fourth Proportional to 381,335.65, 571,779.20 and 144,694.96

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Solution

The fourth proportional to 381,335.65, 571,779.20 and 144,694.96 is: 216,957.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,335.65 : 571,779.20 = 144,694.96 : x
  2. Step 2: Convert to fraction form
    381,335.65/571,779.20 = 144,694.96/x
  3. Step 3: Cross multiply
    381,335.65x = 571,779.20 × 144,694.96
  4. Step 4: Simplify right side
    381,335.65x = 82,733,567,405.12
  5. Step 5: Solve for x
    x = 82,733,567,405.12/381,335.65
  6. Step 6: Final answer
    x = 216,957.34

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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.