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Finding the Fourth Proportional to 295,545.78, 407,711.60 and 284,087.72

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Solution

The fourth proportional to 295,545.78, 407,711.60 and 284,087.72 is: 391,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,545.78 : 407,711.60 = 284,087.72 : x
  2. Step 2: Convert to fraction form
    295,545.78/407,711.60 = 284,087.72/x
  3. Step 3: Cross multiply
    295,545.78x = 407,711.60 × 284,087.72
  4. Step 4: Simplify right side
    295,545.78x = 115,825,858,995.84
  5. Step 5: Solve for x
    x = 115,825,858,995.84/295,545.78
  6. Step 6: Final answer
    x = 391,904.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.