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Finding the Fourth Proportional to 522,809.20, 784,221.54 and 202,979.59

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Solution

The fourth proportional to 522,809.20, 784,221.54 and 202,979.59 is: 304,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,809.20 : 784,221.54 = 202,979.59 : x
  2. Step 2: Convert to fraction form
    522,809.20/784,221.54 = 202,979.59/x
  3. Step 3: Cross multiply
    522,809.20x = 784,221.54 × 202,979.59
  4. Step 4: Simplify right side
    522,809.20x = 159,180,962,737.26
  5. Step 5: Solve for x
    x = 159,180,962,737.26/522,809.20
  6. Step 6: Final answer
    x = 304,472.39

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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.