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Finding the Fourth Proportional to 521,094.55, 781,099.89 and 201,465.94

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Solution

The fourth proportional to 521,094.55, 781,099.89 and 201,465.94 is: 301,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,094.55 : 781,099.89 = 201,465.94 : x
  2. Step 2: Convert to fraction form
    521,094.55/781,099.89 = 201,465.94/x
  3. Step 3: Cross multiply
    521,094.55x = 781,099.89 × 201,465.94
  4. Step 4: Simplify right side
    521,094.55x = 157,365,023,572.75
  5. Step 5: Solve for x
    x = 157,365,023,572.75/521,094.55
  6. Step 6: Final answer
    x = 301,989.39

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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.