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Finding the Fourth Proportional to 286,270.62, 429,460.47 and 115,505.88

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Solution

The fourth proportional to 286,270.62, 429,460.47 and 115,505.88 is: 173,280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,270.62 : 429,460.47 = 115,505.88 : x
  2. Step 2: Convert to fraction form
    286,270.62/429,460.47 = 115,505.88/x
  3. Step 3: Cross multiply
    286,270.62x = 429,460.47 × 115,505.88
  4. Step 4: Simplify right side
    286,270.62x = 49,605,209,512.56
  5. Step 5: Solve for x
    x = 49,605,209,512.56/286,270.62
  6. Step 6: Final answer
    x = 173,280.83

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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.