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Finding the Fourth Proportional to 286,796.57, 430,087.98 and 84,338.47

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Solution

The fourth proportional to 286,796.57, 430,087.98 and 84,338.47 is: 126,476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,796.57 : 430,087.98 = 84,338.47 : x
  2. Step 2: Convert to fraction form
    286,796.57/430,087.98 = 84,338.47/x
  3. Step 3: Cross multiply
    286,796.57x = 430,087.98 × 84,338.47
  4. Step 4: Simplify right side
    286,796.57x = 36,272,960,158.82
  5. Step 5: Solve for x
    x = 36,272,960,158.82/286,796.57
  6. Step 6: Final answer
    x = 126,476.27

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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.