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Finding the Fourth Proportional to 380,892.90, 571,154.67 and 114,603.78

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Solution

The fourth proportional to 380,892.90, 571,154.67 and 114,603.78 is: 171,850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,892.90 : 571,154.67 = 114,603.78 : x
  2. Step 2: Convert to fraction form
    380,892.90/571,154.67 = 114,603.78/x
  3. Step 3: Cross multiply
    380,892.90x = 571,154.67 × 114,603.78
  4. Step 4: Simplify right side
    380,892.90x = 65,456,484,146.65
  5. Step 5: Solve for x
    x = 65,456,484,146.65/380,892.90
  6. Step 6: Final answer
    x = 171,850.10

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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.