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Finding the Fourth Proportional to 217,284.17, 299,852.81 and 120,494.84

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Solution

The fourth proportional to 217,284.17, 299,852.81 and 120,494.84 is: 166,283.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,284.17 : 299,852.81 = 120,494.84 : x
  2. Step 2: Convert to fraction form
    217,284.17/299,852.81 = 120,494.84/x
  3. Step 3: Cross multiply
    217,284.17x = 299,852.81 × 120,494.84
  4. Step 4: Simplify right side
    217,284.17x = 36,130,715,166.47
  5. Step 5: Solve for x
    x = 36,130,715,166.47/217,284.17
  6. Step 6: Final answer
    x = 166,283.24

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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.