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Finding the Fourth Proportional to 381,032.66, 571,564.79 and 156,234.58

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Solution

The fourth proportional to 381,032.66, 571,564.79 and 156,234.58 is: 234,358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,032.66 : 571,564.79 = 156,234.58 : x
  2. Step 2: Convert to fraction form
    381,032.66/571,564.79 = 156,234.58/x
  3. Step 3: Cross multiply
    381,032.66x = 571,564.79 × 156,234.58
  4. Step 4: Simplify right side
    381,032.66x = 89,298,184,908.44
  5. Step 5: Solve for x
    x = 89,298,184,908.44/381,032.66
  6. Step 6: Final answer
    x = 234,358.35

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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.