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Finding the Fourth Proportional to 277,089.98, 415,505.80 and 143,934.49

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Solution

The fourth proportional to 277,089.98, 415,505.80 and 143,934.49 is: 215,834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,089.98 : 415,505.80 = 143,934.49 : x
  2. Step 2: Convert to fraction form
    277,089.98/415,505.80 = 143,934.49/x
  3. Step 3: Cross multiply
    277,089.98x = 415,505.80 × 143,934.49
  4. Step 4: Simplify right side
    277,089.98x = 59,805,615,415.04
  5. Step 5: Solve for x
    x = 59,805,615,415.04/277,089.98
  6. Step 6: Final answer
    x = 215,834.64

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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.