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Finding the Fourth Proportional to 547,289.76, 755,385.84 and 321,008.16

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Solution

The fourth proportional to 547,289.76, 755,385.84 and 321,008.16 is: 443,065.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,289.76 : 755,385.84 = 321,008.16 : x
  2. Step 2: Convert to fraction form
    547,289.76/755,385.84 = 321,008.16/x
  3. Step 3: Cross multiply
    547,289.76x = 755,385.84 × 321,008.16
  4. Step 4: Simplify right side
    547,289.76x = 242,485,018,588.45
  5. Step 5: Solve for x
    x = 242,485,018,588.45/547,289.76
  6. Step 6: Final answer
    x = 443,065.15

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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.