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Finding the Fourth Proportional to 523,053.88, 784,883.52 and 219,420.84

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Solution

The fourth proportional to 523,053.88, 784,883.52 and 219,420.84 is: 329,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,053.88 : 784,883.52 = 219,420.84 : x
  2. Step 2: Convert to fraction form
    523,053.88/784,883.52 = 219,420.84/x
  3. Step 3: Cross multiply
    523,053.88x = 784,883.52 × 219,420.84
  4. Step 4: Simplify right side
    523,053.88x = 172,219,801,260.56
  5. Step 5: Solve for x
    x = 172,219,801,260.56/523,053.88
  6. Step 6: Final answer
    x = 329,258.24

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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.