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Finding the Fourth Proportional to 438,719.70, 657,642.15 and 201,648.90

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Solution

The fourth proportional to 438,719.70, 657,642.15 and 201,648.90 is: 302,272.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,719.70 : 657,642.15 = 201,648.90 : x
  2. Step 2: Convert to fraction form
    438,719.70/657,642.15 = 201,648.90/x
  3. Step 3: Cross multiply
    438,719.70x = 657,642.15 × 201,648.90
  4. Step 4: Simplify right side
    438,719.70x = 132,612,816,141.14
  5. Step 5: Solve for x
    x = 132,612,816,141.14/438,719.70
  6. Step 6: Final answer
    x = 302,272.31

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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.