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Finding the Fourth Proportional to 523,148.42, 784,760.67 and 219,237.51

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Solution

The fourth proportional to 523,148.42, 784,760.67 and 219,237.51 is: 328,872.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,148.42 : 784,760.67 = 219,237.51 : x
  2. Step 2: Convert to fraction form
    523,148.42/784,760.67 = 219,237.51/x
  3. Step 3: Cross multiply
    523,148.42x = 784,760.67 × 219,237.51
  4. Step 4: Simplify right side
    523,148.42x = 172,048,975,236.73
  5. Step 5: Solve for x
    x = 172,048,975,236.73/523,148.42
  6. Step 6: Final answer
    x = 328,872.21

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1.5x scale

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.