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Finding the Fourth Proportional to 385,884.36, 578,882.52 and 119,666.28

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Solution

The fourth proportional to 385,884.36, 578,882.52 and 119,666.28 is: 179,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,884.36 : 578,882.52 = 119,666.28 : x
  2. Step 2: Convert to fraction form
    385,884.36/578,882.52 = 119,666.28/x
  3. Step 3: Cross multiply
    385,884.36x = 578,882.52 × 119,666.28
  4. Step 4: Simplify right side
    385,884.36x = 69,272,717,725.43
  5. Step 5: Solve for x
    x = 69,272,717,725.43/385,884.36
  6. Step 6: Final answer
    x = 179,516.78

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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.