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Finding the Fourth Proportional to 377,136.98, 520,451.16 and 205,056.63

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Solution

The fourth proportional to 377,136.98, 520,451.16 and 205,056.63 is: 282,979.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,136.98 : 520,451.16 = 205,056.63 : x
  2. Step 2: Convert to fraction form
    377,136.98/520,451.16 = 205,056.63/x
  3. Step 3: Cross multiply
    377,136.98x = 520,451.16 × 205,056.63
  4. Step 4: Simplify right side
    377,136.98x = 106,721,959,923.91
  5. Step 5: Solve for x
    x = 106,721,959,923.91/377,136.98
  6. Step 6: Final answer
    x = 282,979.30

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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.