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Finding the Fourth Proportional to 502,805.66, 693,846.14 and 276,407.42

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Solution

The fourth proportional to 502,805.66, 693,846.14 and 276,407.42 is: 381,428.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,805.66 : 693,846.14 = 276,407.42 : x
  2. Step 2: Convert to fraction form
    502,805.66/693,846.14 = 276,407.42/x
  3. Step 3: Cross multiply
    502,805.66x = 693,846.14 × 276,407.42
  4. Step 4: Simplify right side
    502,805.66x = 191,784,221,434.36
  5. Step 5: Solve for x
    x = 191,784,221,434.36/502,805.66
  6. Step 6: Final answer
    x = 381,428.13

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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.