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Finding the Fourth Proportional to 307,512, 461,298.24 and 85,896

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Solution

The fourth proportional to 307,512, 461,298.24 and 85,896 is: 128,852.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,512 : 461,298.24 = 85,896 : x
  2. Step 2: Convert to fraction form
    307,512/461,298.24 = 85,896/x
  3. Step 3: Cross multiply
    307,512x = 461,298.24 × 85,896
  4. Step 4: Simplify right side
    307,512x = 39,623,673,623.04
  5. Step 5: Solve for x
    x = 39,623,673,623.04/307,512
  6. Step 6: Final answer
    x = 128,852.45

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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.