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Finding the Fourth Proportional to 427,305.10, 640,755.66 and 127,681.06

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Solution

The fourth proportional to 427,305.10, 640,755.66 and 127,681.06 is: 191,461.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,305.10 : 640,755.66 = 127,681.06 : x
  2. Step 2: Convert to fraction form
    427,305.10/640,755.66 = 127,681.06/x
  3. Step 3: Cross multiply
    427,305.10x = 640,755.66 × 127,681.06
  4. Step 4: Simplify right side
    427,305.10x = 81,812,361,869.80
  5. Step 5: Solve for x
    x = 81,812,361,869.80/427,305.10
  6. Step 6: Final answer
    x = 191,461.23

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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.