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Finding the Fourth Proportional to 580,871.40, 871,307.10 and 381,805.80

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Solution

The fourth proportional to 580,871.40, 871,307.10 and 381,805.80 is: 572,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,871.40 : 871,307.10 = 381,805.80 : x
  2. Step 2: Convert to fraction form
    580,871.40/871,307.10 = 381,805.80/x
  3. Step 3: Cross multiply
    580,871.40x = 871,307.10 × 381,805.80
  4. Step 4: Simplify right side
    580,871.40x = 332,670,104,361.18
  5. Step 5: Solve for x
    x = 332,670,104,361.18/580,871.40
  6. Step 6: Final answer
    x = 572,708.70

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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.