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Finding the Fourth Proportional to 307,184, 424,056 and 216,613.76

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Solution

The fourth proportional to 307,184, 424,056 and 216,613.76 is: 299,027.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,184 : 424,056 = 216,613.76 : x
  2. Step 2: Convert to fraction form
    307,184/424,056 = 216,613.76/x
  3. Step 3: Cross multiply
    307,184x = 424,056 × 216,613.76
  4. Step 4: Simplify right side
    307,184x = 91,856,364,610.56
  5. Step 5: Solve for x
    x = 91,856,364,610.56/307,184
  6. Step 6: Final answer
    x = 299,027.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.