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Finding the Fourth Proportional to 522,975.36, 784,472.16 and 149,007.84

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Solution

The fourth proportional to 522,975.36, 784,472.16 and 149,007.84 is: 223,514.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,975.36 : 784,472.16 = 149,007.84 : x
  2. Step 2: Convert to fraction form
    522,975.36/784,472.16 = 149,007.84/x
  3. Step 3: Cross multiply
    522,975.36x = 784,472.16 × 149,007.84
  4. Step 4: Simplify right side
    522,975.36x = 116,892,502,101.73
  5. Step 5: Solve for x
    x = 116,892,502,101.73/522,975.36
  6. Step 6: Final answer
    x = 223,514.36

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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.