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Finding the Fourth Proportional to 438,191.37, 657,287.05 and 105,767.37

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Solution

The fourth proportional to 438,191.37, 657,287.05 and 105,767.37 is: 158,651.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,191.37 : 657,287.05 = 105,767.37 : x
  2. Step 2: Convert to fraction form
    438,191.37/657,287.05 = 105,767.37/x
  3. Step 3: Cross multiply
    438,191.37x = 657,287.05 × 105,767.37
  4. Step 4: Simplify right side
    438,191.37x = 69,519,519,327.12
  5. Step 5: Solve for x
    x = 69,519,519,327.12/438,191.37
  6. Step 6: Final answer
    x = 158,651.05

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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.