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Finding the Fourth Proportional to 381,518.76, 572,282.10 and 115,281.48

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Solution

The fourth proportional to 381,518.76, 572,282.10 and 115,281.48 is: 172,923.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,518.76 : 572,282.10 = 115,281.48 : x
  2. Step 2: Convert to fraction form
    381,518.76/572,282.10 = 115,281.48/x
  3. Step 3: Cross multiply
    381,518.76x = 572,282.10 × 115,281.48
  4. Step 4: Simplify right side
    381,518.76x = 65,973,527,465.51
  5. Step 5: Solve for x
    x = 65,973,527,465.51/381,518.76
  6. Step 6: Final answer
    x = 172,923.42

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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.