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Finding the Fourth Proportional to 216,164.40, 296,143.84 and 208,080.87

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Solution

The fourth proportional to 216,164.40, 296,143.84 and 208,080.87 is: 285,069.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,164.40 : 296,143.84 = 208,080.87 : x
  2. Step 2: Convert to fraction form
    216,164.40/296,143.84 = 208,080.87/x
  3. Step 3: Cross multiply
    216,164.40x = 296,143.84 × 208,080.87
  4. Step 4: Simplify right side
    216,164.40x = 61,621,867,872.34
  5. Step 5: Solve for x
    x = 61,621,867,872.34/216,164.40
  6. Step 6: Final answer
    x = 285,069.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.