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Finding the Fourth Proportional to 357,105, 535,807.70 and 222,281.78

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Solution

The fourth proportional to 357,105, 535,807.70 and 222,281.78 is: 333,516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,105 : 535,807.70 = 222,281.78 : x
  2. Step 2: Convert to fraction form
    357,105/535,807.70 = 222,281.78/x
  3. Step 3: Cross multiply
    357,105x = 535,807.70 × 222,281.78
  4. Step 4: Simplify right side
    357,105x = 119,100,289,293.71
  5. Step 5: Solve for x
    x = 119,100,289,293.71/357,105
  6. Step 6: Final answer
    x = 333,516.16

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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.