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Finding the Fourth Proportional to 487,542.84, 731,405.82 and 221,322.06

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Solution

The fourth proportional to 487,542.84, 731,405.82 and 221,322.06 is: 332,024.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,542.84 : 731,405.82 = 221,322.06 : x
  2. Step 2: Convert to fraction form
    487,542.84/731,405.82 = 221,322.06/x
  3. Step 3: Cross multiply
    487,542.84x = 731,405.82 × 221,322.06
  4. Step 4: Simplify right side
    487,542.84x = 161,876,242,778.39
  5. Step 5: Solve for x
    x = 161,876,242,778.39/487,542.84
  6. Step 6: Final answer
    x = 332,024.65

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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.