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Finding the Fourth Proportional to 216,497.80, 324,746.70 and 137,960.20

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Solution

The fourth proportional to 216,497.80, 324,746.70 and 137,960.20 is: 206,940.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,497.80 : 324,746.70 = 137,960.20 : x
  2. Step 2: Convert to fraction form
    216,497.80/324,746.70 = 137,960.20/x
  3. Step 3: Cross multiply
    216,497.80x = 324,746.70 × 137,960.20
  4. Step 4: Simplify right side
    216,497.80x = 44,802,119,681.34
  5. Step 5: Solve for x
    x = 44,802,119,681.34/216,497.80
  6. Step 6: Final answer
    x = 206,940.30

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1.5x scale

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.