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Finding the Fourth Proportional to 547,663.36, 755,748.40 and 305,897.80

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Solution

The fourth proportional to 547,663.36, 755,748.40 and 305,897.80 is: 422,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,663.36 : 755,748.40 = 305,897.80 : x
  2. Step 2: Convert to fraction form
    547,663.36/755,748.40 = 305,897.80/x
  3. Step 3: Cross multiply
    547,663.36x = 755,748.40 × 305,897.80
  4. Step 4: Simplify right side
    547,663.36x = 231,181,772,913.52
  5. Step 5: Solve for x
    x = 231,181,772,913.52/547,663.36
  6. Step 6: Final answer
    x = 422,123.86

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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.