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Finding the Fourth Proportional to 580,915.20, 871,372.80 and 186,931.20

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Solution

The fourth proportional to 580,915.20, 871,372.80 and 186,931.20 is: 280,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,915.20 : 871,372.80 = 186,931.20 : x
  2. Step 2: Convert to fraction form
    580,915.20/871,372.80 = 186,931.20/x
  3. Step 3: Cross multiply
    580,915.20x = 871,372.80 × 186,931.20
  4. Step 4: Simplify right side
    580,915.20x = 162,886,763,151.36
  5. Step 5: Solve for x
    x = 162,886,763,151.36/580,915.20
  6. Step 6: Final answer
    x = 280,396.80

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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.