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Finding the Fourth Proportional to 399,248.66, 550,971.50 and 217,968.23

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Solution

The fourth proportional to 399,248.66, 550,971.50 and 217,968.23 is: 300,800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,248.66 : 550,971.50 = 217,968.23 : x
  2. Step 2: Convert to fraction form
    399,248.66/550,971.50 = 217,968.23/x
  3. Step 3: Cross multiply
    399,248.66x = 550,971.50 × 217,968.23
  4. Step 4: Simplify right side
    399,248.66x = 120,094,282,923.03
  5. Step 5: Solve for x
    x = 120,094,282,923.03/399,248.66
  6. Step 6: Final answer
    x = 300,800.71

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1.5x scale

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.