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Finding the Fourth Proportional to 398,741.65, 550,263.13 and 217,453.93

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Solution

The fourth proportional to 398,741.65, 550,263.13 and 217,453.93 is: 300,086.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,741.65 : 550,263.13 = 217,453.93 : x
  2. Step 2: Convert to fraction form
    398,741.65/550,263.13 = 217,453.93/x
  3. Step 3: Cross multiply
    398,741.65x = 550,263.13 × 217,453.93
  4. Step 4: Simplify right side
    398,741.65x = 119,656,880,152.60
  5. Step 5: Solve for x
    x = 119,656,880,152.60/398,741.65
  6. Step 6: Final answer
    x = 300,086.23

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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.