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Finding the Fourth Proportional to 427,184.01, 640,814.29 and 123,573.40

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Solution

The fourth proportional to 427,184.01, 640,814.29 and 123,573.40 is: 185,371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,184.01 : 640,814.29 = 123,573.40 : x
  2. Step 2: Convert to fraction form
    427,184.01/640,814.29 = 123,573.40/x
  3. Step 3: Cross multiply
    427,184.01x = 640,814.29 × 123,573.40
  4. Step 4: Simplify right side
    427,184.01x = 79,187,598,672.92
  5. Step 5: Solve for x
    x = 79,187,598,672.92/427,184.01
  6. Step 6: Final answer
    x = 185,371.17

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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.