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Finding the Fourth Proportional to 521,087.54, 781,089.41 and 201,458.94

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Solution

The fourth proportional to 521,087.54, 781,089.41 and 201,458.94 is: 301,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,087.54 : 781,089.41 = 201,458.94 : x
  2. Step 2: Convert to fraction form
    521,087.54/781,089.41 = 201,458.94/x
  3. Step 3: Cross multiply
    521,087.54x = 781,089.41 × 201,458.94
  4. Step 4: Simplify right side
    521,087.54x = 157,357,446,883.35
  5. Step 5: Solve for x
    x = 157,357,446,883.35/521,087.54
  6. Step 6: Final answer
    x = 301,978.91

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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.