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Finding the Fourth Proportional to 661,754.84, 992,148.32 and 212,219.82

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Solution

The fourth proportional to 661,754.84, 992,148.32 and 212,219.82 is: 318,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,754.84 : 992,148.32 = 212,219.82 : x
  2. Step 2: Convert to fraction form
    661,754.84/992,148.32 = 212,219.82/x
  3. Step 3: Cross multiply
    661,754.84x = 992,148.32 × 212,219.82
  4. Step 4: Simplify right side
    661,754.84x = 210,553,537,883.70
  5. Step 5: Solve for x
    x = 210,553,537,883.70/661,754.84
  6. Step 6: Final answer
    x = 318,174.53

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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.