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Finding the Fourth Proportional to 422,666.32, 633,848.82 and 138,288.28

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Solution

The fourth proportional to 422,666.32, 633,848.82 and 138,288.28 is: 207,383.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,666.32 : 633,848.82 = 138,288.28 : x
  2. Step 2: Convert to fraction form
    422,666.32/633,848.82 = 138,288.28/x
  3. Step 3: Cross multiply
    422,666.32x = 633,848.82 × 138,288.28
  4. Step 4: Simplify right side
    422,666.32x = 87,653,863,097.83
  5. Step 5: Solve for x
    x = 87,653,863,097.83/422,666.32
  6. Step 6: Final answer
    x = 207,383.13

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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.