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Finding the Fourth Proportional to 464,692.14, 640,080.28 and 328,491.86

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Solution

The fourth proportional to 464,692.14, 640,080.28 and 328,491.86 is: 452,474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,692.14 : 640,080.28 = 328,491.86 : x
  2. Step 2: Convert to fraction form
    464,692.14/640,080.28 = 328,491.86/x
  3. Step 3: Cross multiply
    464,692.14x = 640,080.28 × 328,491.86
  4. Step 4: Simplify right side
    464,692.14x = 210,261,161,726.52
  5. Step 5: Solve for x
    x = 210,261,161,726.52/464,692.14
  6. Step 6: Final answer
    x = 452,474.11

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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.