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Finding the Fourth Proportional to 523,149.42, 784,762.17 and 219,238.51

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Solution

The fourth proportional to 523,149.42, 784,762.17 and 219,238.51 is: 328,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,149.42 : 784,762.17 = 219,238.51 : x
  2. Step 2: Convert to fraction form
    523,149.42/784,762.17 = 219,238.51/x
  3. Step 3: Cross multiply
    523,149.42x = 784,762.17 × 219,238.51
  4. Step 4: Simplify right side
    523,149.42x = 172,050,088,855.17
  5. Step 5: Solve for x
    x = 172,050,088,855.17/523,149.42
  6. Step 6: Final answer
    x = 328,873.71

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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.