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Finding the Fourth Proportional to 438,243.68, 657,463.96 and 138,742.24

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Solution

The fourth proportional to 438,243.68, 657,463.96 and 138,742.24 is: 208,144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,243.68 : 657,463.96 = 138,742.24 : x
  2. Step 2: Convert to fraction form
    438,243.68/657,463.96 = 138,742.24/x
  3. Step 3: Cross multiply
    438,243.68x = 657,463.96 × 138,742.24
  4. Step 4: Simplify right side
    438,243.68x = 91,218,022,529.67
  5. Step 5: Solve for x
    x = 91,218,022,529.67/438,243.68
  6. Step 6: Final answer
    x = 208,144.52

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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.