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Finding the Fourth Proportional to 357,102, 535,803.19 and 222,278.78

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Solution

The fourth proportional to 357,102, 535,803.19 and 222,278.78 is: 333,511.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,102 : 535,803.19 = 222,278.78 : x
  2. Step 2: Convert to fraction form
    357,102/535,803.19 = 222,278.78/x
  3. Step 3: Cross multiply
    357,102x = 535,803.19 × 222,278.78
  4. Step 4: Simplify right side
    357,102x = 119,097,680,177.12
  5. Step 5: Solve for x
    x = 119,097,680,177.12/357,102
  6. Step 6: Final answer
    x = 333,511.66

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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.