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Finding the Fourth Proportional to 299,776.16, 413,874.63 and 285,389.96

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Solution

The fourth proportional to 299,776.16, 413,874.63 and 285,389.96 is: 394,012.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,776.16 : 413,874.63 = 285,389.96 : x
  2. Step 2: Convert to fraction form
    299,776.16/413,874.63 = 285,389.96/x
  3. Step 3: Cross multiply
    299,776.16x = 413,874.63 × 285,389.96
  4. Step 4: Simplify right side
    299,776.16x = 118,115,662,031.34
  5. Step 5: Solve for x
    x = 118,115,662,031.34/299,776.16
  6. Step 6: Final answer
    x = 394,012.86

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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.