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Finding the Fourth Proportional to 662,553.12, 993,690 and 213,314.16

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Solution

The fourth proportional to 662,553.12, 993,690 and 213,314.16 is: 319,926.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,553.12 : 993,690 = 213,314.16 : x
  2. Step 2: Convert to fraction form
    662,553.12/993,690 = 213,314.16/x
  3. Step 3: Cross multiply
    662,553.12x = 993,690 × 213,314.16
  4. Step 4: Simplify right side
    662,553.12x = 211,968,147,650.40
  5. Step 5: Solve for x
    x = 211,968,147,650.40/662,553.12
  6. Step 6: Final answer
    x = 319,926.27

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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.