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Finding the Fourth Proportional to 307,297, 461,023.26 and 85,681

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Solution

The fourth proportional to 307,297, 461,023.26 and 85,681 is: 128,543.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,297 : 461,023.26 = 85,681 : x
  2. Step 2: Convert to fraction form
    307,297/461,023.26 = 85,681/x
  3. Step 3: Cross multiply
    307,297x = 461,023.26 × 85,681
  4. Step 4: Simplify right side
    307,297x = 39,500,933,940.06
  5. Step 5: Solve for x
    x = 39,500,933,940.06/307,297
  6. Step 6: Final answer
    x = 128,543.18

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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.