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Finding the Fourth Proportional to 438,713.70, 657,633.15 and 201,642.90

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Solution

The fourth proportional to 438,713.70, 657,633.15 and 201,642.90 is: 302,263.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,713.70 : 657,633.15 = 201,642.90 : x
  2. Step 2: Convert to fraction form
    438,713.70/657,633.15 = 201,642.90/x
  3. Step 3: Cross multiply
    438,713.70x = 657,633.15 × 201,642.90
  4. Step 4: Simplify right side
    438,713.70x = 132,607,055,502.14
  5. Step 5: Solve for x
    x = 132,607,055,502.14/438,713.70
  6. Step 6: Final answer
    x = 302,263.31

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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.