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Finding the Fourth Proportional to 443,297.52, 664,642.56 and 158,982

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Solution

The fourth proportional to 443,297.52, 664,642.56 and 158,982 is: 238,364.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,297.52 : 664,642.56 = 158,982 : x
  2. Step 2: Convert to fraction form
    443,297.52/664,642.56 = 158,982/x
  3. Step 3: Cross multiply
    443,297.52x = 664,642.56 × 158,982
  4. Step 4: Simplify right side
    443,297.52x = 105,666,203,473.92
  5. Step 5: Solve for x
    x = 105,666,203,473.92/443,297.52
  6. Step 6: Final answer
    x = 238,364.08

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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.