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Finding the Fourth Proportional to 438,713.20, 657,632.40 and 201,642.40

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Solution

The fourth proportional to 438,713.20, 657,632.40 and 201,642.40 is: 302,262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,713.20 : 657,632.40 = 201,642.40 : x
  2. Step 2: Convert to fraction form
    438,713.20/657,632.40 = 201,642.40/x
  3. Step 3: Cross multiply
    438,713.20x = 657,632.40 × 201,642.40
  4. Step 4: Simplify right side
    438,713.20x = 132,606,575,453.76
  5. Step 5: Solve for x
    x = 132,606,575,453.76/438,713.20
  6. Step 6: Final answer
    x = 302,262.56

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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.