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Finding the Fourth Proportional to 308,964.60, 463,446.90 and 214,486.20

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Solution

The fourth proportional to 308,964.60, 463,446.90 and 214,486.20 is: 321,729.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,964.60 : 463,446.90 = 214,486.20 : x
  2. Step 2: Convert to fraction form
    308,964.60/463,446.90 = 214,486.20/x
  3. Step 3: Cross multiply
    308,964.60x = 463,446.90 × 214,486.20
  4. Step 4: Simplify right side
    308,964.60x = 99,402,964,482.78
  5. Step 5: Solve for x
    x = 99,402,964,482.78/308,964.60
  6. Step 6: Final answer
    x = 321,729.30

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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.