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Finding the Fourth Proportional to 277,136.42, 415,575.42 and 143,980.93

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Solution

The fourth proportional to 277,136.42, 415,575.42 and 143,980.93 is: 215,904.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,136.42 : 415,575.42 = 143,980.93 : x
  2. Step 2: Convert to fraction form
    277,136.42/415,575.42 = 143,980.93/x
  3. Step 3: Cross multiply
    277,136.42x = 415,575.42 × 143,980.93
  4. Step 4: Simplify right side
    277,136.42x = 59,834,935,456.74
  5. Step 5: Solve for x
    x = 59,834,935,456.74/277,136.42
  6. Step 6: Final answer
    x = 215,904.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.