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Finding the Fourth Proportional to 522,782.40, 784,255.70 and 223,264.56

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Solution

The fourth proportional to 522,782.40, 784,255.70 and 223,264.56 is: 334,931.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,782.40 : 784,255.70 = 223,264.56 : x
  2. Step 2: Convert to fraction form
    522,782.40/784,255.70 = 223,264.56/x
  3. Step 3: Cross multiply
    522,782.40x = 784,255.70 × 223,264.56
  4. Step 4: Simplify right side
    522,782.40x = 175,096,503,787.99
  5. Step 5: Solve for x
    x = 175,096,503,787.99/522,782.40
  6. Step 6: Final answer
    x = 334,931.90

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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.