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Finding the Fourth Proportional to 438,493.32, 657,744.93 and 154,192.32

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Solution

The fourth proportional to 438,493.32, 657,744.93 and 154,192.32 is: 231,290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,493.32 : 657,744.93 = 154,192.32 : x
  2. Step 2: Convert to fraction form
    438,493.32/657,744.93 = 154,192.32/x
  3. Step 3: Cross multiply
    438,493.32x = 657,744.93 × 154,192.32
  4. Step 4: Simplify right side
    438,493.32x = 101,419,216,724.94
  5. Step 5: Solve for x
    x = 101,419,216,724.94/438,493.32
  6. Step 6: Final answer
    x = 231,290.22

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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.