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Finding the Fourth Proportional to 427,318.56, 640,525.86 and 160,963.83

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Solution

The fourth proportional to 427,318.56, 640,525.86 and 160,963.83 is: 241,275.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,318.56 : 640,525.86 = 160,963.83 : x
  2. Step 2: Convert to fraction form
    427,318.56/640,525.86 = 160,963.83/x
  3. Step 3: Cross multiply
    427,318.56x = 640,525.86 × 160,963.83
  4. Step 4: Simplify right side
    427,318.56x = 103,101,495,639.64
  5. Step 5: Solve for x
    x = 103,101,495,639.64/427,318.56
  6. Step 6: Final answer
    x = 241,275.49

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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.