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Finding the Fourth Proportional to 397,937.80, 549,164.10 and 216,659.67

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Solution

The fourth proportional to 397,937.80, 549,164.10 and 216,659.67 is: 298,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,937.80 : 549,164.10 = 216,659.67 : x
  2. Step 2: Convert to fraction form
    397,937.80/549,164.10 = 216,659.67/x
  3. Step 3: Cross multiply
    397,937.80x = 549,164.10 × 216,659.67
  4. Step 4: Simplify right side
    397,937.80x = 118,981,712,681.85
  5. Step 5: Solve for x
    x = 118,981,712,681.85/397,937.80
  6. Step 6: Final answer
    x = 298,995.75

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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.