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Finding the Fourth Proportional to 279,085.78, 385,136.40 and 151,761.40

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Solution

The fourth proportional to 279,085.78, 385,136.40 and 151,761.40 is: 209,429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,085.78 : 385,136.40 = 151,761.40 : x
  2. Step 2: Convert to fraction form
    279,085.78/385,136.40 = 151,761.40/x
  3. Step 3: Cross multiply
    279,085.78x = 385,136.40 × 151,761.40
  4. Step 4: Simplify right side
    279,085.78x = 58,448,839,254.96
  5. Step 5: Solve for x
    x = 58,448,839,254.96/279,085.78
  6. Step 6: Final answer
    x = 209,429.66

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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.