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Finding the Fourth Proportional to 307,721.40, 461,363.40 and 139,322.40

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Solution

The fourth proportional to 307,721.40, 461,363.40 and 139,322.40 is: 208,884.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,721.40 : 461,363.40 = 139,322.40 : x
  2. Step 2: Convert to fraction form
    307,721.40/461,363.40 = 139,322.40/x
  3. Step 3: Cross multiply
    307,721.40x = 461,363.40 × 139,322.40
  4. Step 4: Simplify right side
    307,721.40x = 64,278,256,160.16
  5. Step 5: Solve for x
    x = 64,278,256,160.16/307,721.40
  6. Step 6: Final answer
    x = 208,884.58

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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.