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Finding the Fourth Proportional to 385,296.16, 531,729.36 and 215,520.16

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Solution

The fourth proportional to 385,296.16, 531,729.36 and 215,520.16 is: 297,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,296.16 : 531,729.36 = 215,520.16 : x
  2. Step 2: Convert to fraction form
    385,296.16/531,729.36 = 215,520.16/x
  3. Step 3: Cross multiply
    385,296.16x = 531,729.36 × 215,520.16
  4. Step 4: Simplify right side
    385,296.16x = 114,598,396,743.90
  5. Step 5: Solve for x
    x = 114,598,396,743.90/385,296.16
  6. Step 6: Final answer
    x = 297,429.38

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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.