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Finding the Fourth Proportional to 255,438, 383,333.04 and 89,226

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Solution

The fourth proportional to 255,438, 383,333.04 and 89,226 is: 133,900.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,438 : 383,333.04 = 89,226 : x
  2. Step 2: Convert to fraction form
    255,438/383,333.04 = 89,226/x
  3. Step 3: Cross multiply
    255,438x = 383,333.04 × 89,226
  4. Step 4: Simplify right side
    255,438x = 34,203,273,827.04
  5. Step 5: Solve for x
    x = 34,203,273,827.04/255,438
  6. Step 6: Final answer
    x = 133,900.49

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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.