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Finding the Fourth Proportional to 307,535.84, 460,929.76 and 217,604.47

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Solution

The fourth proportional to 307,535.84, 460,929.76 and 217,604.47 is: 326,142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,535.84 : 460,929.76 = 217,604.47 : x
  2. Step 2: Convert to fraction form
    307,535.84/460,929.76 = 217,604.47/x
  3. Step 3: Cross multiply
    307,535.84x = 460,929.76 × 217,604.47
  4. Step 4: Simplify right side
    307,535.84x = 100,300,374,435.69
  5. Step 5: Solve for x
    x = 100,300,374,435.69/307,535.84
  6. Step 6: Final answer
    x = 326,142.06

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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.