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Finding the Fourth Proportional to 422,547.74, 633,687.81 and 138,172.58

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Solution

The fourth proportional to 422,547.74, 633,687.81 and 138,172.58 is: 207,215.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,547.74 : 633,687.81 = 138,172.58 : x
  2. Step 2: Convert to fraction form
    422,547.74/633,687.81 = 138,172.58/x
  3. Step 3: Cross multiply
    422,547.74x = 633,687.81 × 138,172.58
  4. Step 4: Simplify right side
    422,547.74x = 87,558,281,876.49
  5. Step 5: Solve for x
    x = 87,558,281,876.49/422,547.74
  6. Step 6: Final answer
    x = 207,215.12

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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.