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Finding the Fourth Proportional to 547,649.63, 755,688.69 and 305,977.93

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Solution

The fourth proportional to 547,649.63, 755,688.69 and 305,977.93 is: 422,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,649.63 : 755,688.69 = 305,977.93 : x
  2. Step 2: Convert to fraction form
    547,649.63/755,688.69 = 305,977.93/x
  3. Step 3: Cross multiply
    547,649.63x = 755,688.69 × 305,977.93
  4. Step 4: Simplify right side
    547,649.63x = 231,224,061,326.76
  5. Step 5: Solve for x
    x = 231,224,061,326.76/547,649.63
  6. Step 6: Final answer
    x = 422,211.66

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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.