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Finding the Fourth Proportional to 323,140.29, 484,931.91 and 112,778.22

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Solution

The fourth proportional to 323,140.29, 484,931.91 and 112,778.22 is: 169,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,140.29 : 484,931.91 = 112,778.22 : x
  2. Step 2: Convert to fraction form
    323,140.29/484,931.91 = 112,778.22/x
  3. Step 3: Cross multiply
    323,140.29x = 484,931.91 × 112,778.22
  4. Step 4: Simplify right side
    323,140.29x = 54,689,759,872.41
  5. Step 5: Solve for x
    x = 54,689,759,872.41/323,140.29
  6. Step 6: Final answer
    x = 169,244.64

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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.