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Finding the Fourth Proportional to 397,982, 549,209.67 and 216,693.93

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Solution

The fourth proportional to 397,982, 549,209.67 and 216,693.93 is: 299,034.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,982 : 549,209.67 = 216,693.93 : x
  2. Step 2: Convert to fraction form
    397,982/549,209.67 = 216,693.93/x
  3. Step 3: Cross multiply
    397,982x = 549,209.67 × 216,693.93
  4. Step 4: Simplify right side
    397,982x = 119,010,401,786.30
  5. Step 5: Solve for x
    x = 119,010,401,786.30/397,982
  6. Step 6: Final answer
    x = 299,034.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.