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Finding the Fourth Proportional to 358,389.70, 494,521.12 and 205,398.43

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Solution

The fourth proportional to 358,389.70, 494,521.12 and 205,398.43 is: 283,417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,389.70 : 494,521.12 = 205,398.43 : x
  2. Step 2: Convert to fraction form
    358,389.70/494,521.12 = 205,398.43/x
  3. Step 3: Cross multiply
    358,389.70x = 494,521.12 × 205,398.43
  4. Step 4: Simplify right side
    358,389.70x = 101,573,861,649.84
  5. Step 5: Solve for x
    x = 101,573,861,649.84/358,389.70
  6. Step 6: Final answer
    x = 283,417.36

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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.