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Finding the Fourth Proportional to 374,742.29, 517,131.47 and 213,649.22

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Solution

The fourth proportional to 374,742.29, 517,131.47 and 213,649.22 is: 294,828.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,742.29 : 517,131.47 = 213,649.22 : x
  2. Step 2: Convert to fraction form
    374,742.29/517,131.47 = 213,649.22/x
  3. Step 3: Cross multiply
    374,742.29x = 517,131.47 × 213,649.22
  4. Step 4: Simplify right side
    374,742.29x = 110,484,737,029.91
  5. Step 5: Solve for x
    x = 110,484,737,029.91/374,742.29
  6. Step 6: Final answer
    x = 294,828.58

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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.