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Finding the Fourth Proportional to 508,422.32, 762,391.04 and 188,354.64

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Solution

The fourth proportional to 508,422.32, 762,391.04 and 188,354.64 is: 282,442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,422.32 : 762,391.04 = 188,354.64 : x
  2. Step 2: Convert to fraction form
    508,422.32/762,391.04 = 188,354.64/x
  3. Step 3: Cross multiply
    508,422.32x = 762,391.04 × 188,354.64
  4. Step 4: Simplify right side
    508,422.32x = 143,599,889,878.43
  5. Step 5: Solve for x
    x = 143,599,889,878.43/508,422.32
  6. Step 6: Final answer
    x = 282,442.14

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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.