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Finding the Fourth Proportional to 288,128.84, 433,139.81 and 267,320.34

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Solution

The fourth proportional to 288,128.84, 433,139.81 and 267,320.34 is: 401,858.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,128.84 : 433,139.81 = 267,320.34 : x
  2. Step 2: Convert to fraction form
    288,128.84/433,139.81 = 267,320.34/x
  3. Step 3: Cross multiply
    288,128.84x = 433,139.81 × 267,320.34
  4. Step 4: Simplify right side
    288,128.84x = 115,787,079,940.13
  5. Step 5: Solve for x
    x = 115,787,079,940.13/288,128.84
  6. Step 6: Final answer
    x = 401,858.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.