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Finding the Fourth Proportional to 456,172.39, 683,835.18 and 216,398.80

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Solution

The fourth proportional to 456,172.39, 683,835.18 and 216,398.80 is: 324,397.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,172.39 : 683,835.18 = 216,398.80 : x
  2. Step 2: Convert to fraction form
    456,172.39/683,835.18 = 216,398.80/x
  3. Step 3: Cross multiply
    456,172.39x = 683,835.18 × 216,398.80
  4. Step 4: Simplify right side
    456,172.39x = 147,981,112,349.78
  5. Step 5: Solve for x
    x = 147,981,112,349.78/456,172.39
  6. Step 6: Final answer
    x = 324,397.35

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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.