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Finding the Fourth Proportional to 427,312.56, 640,516.80 and 160,957.80

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Solution

The fourth proportional to 427,312.56, 640,516.80 and 160,957.80 is: 241,266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,312.56 : 640,516.80 = 160,957.80 : x
  2. Step 2: Convert to fraction form
    427,312.56/640,516.80 = 160,957.80/x
  3. Step 3: Cross multiply
    427,312.56x = 640,516.80 × 160,957.80
  4. Step 4: Simplify right side
    427,312.56x = 103,096,174,991.04
  5. Step 5: Solve for x
    x = 103,096,174,991.04/427,312.56
  6. Step 6: Final answer
    x = 241,266.43

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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.