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Finding the Fourth Proportional to 871,092, 1,305,411.84 and 692,807.76

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Solution

The fourth proportional to 871,092, 1,305,411.84 and 692,807.76 is: 1,038,236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,092 : 1,305,411.84 = 692,807.76 : x
  2. Step 2: Convert to fraction form
    871,092/1,305,411.84 = 692,807.76/x
  3. Step 3: Cross multiply
    871,092x = 1,305,411.84 × 692,807.76
  4. Step 4: Simplify right side
    871,092x = 904,399,452,747.88
  5. Step 5: Solve for x
    x = 904,399,452,747.88/871,092
  6. Step 6: Final answer
    x = 1,038,236.44

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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.