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Finding the Fourth Proportional to 871,884, 1,307,476.08 and 422,236.80

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Solution

The fourth proportional to 871,884, 1,307,476.08 and 422,236.80 is: 633,185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,884 : 1,307,476.08 = 422,236.80 : x
  2. Step 2: Convert to fraction form
    871,884/1,307,476.08 = 422,236.80/x
  3. Step 3: Cross multiply
    871,884x = 1,307,476.08 × 422,236.80
  4. Step 4: Simplify right side
    871,884x = 552,064,516,095.74
  5. Step 5: Solve for x
    x = 552,064,516,095.74/871,884
  6. Step 6: Final answer
    x = 633,185.74

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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.