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Finding the Fourth Proportional to 234,647.60, 324,000.12 and 216,736.16

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Solution

The fourth proportional to 234,647.60, 324,000.12 and 216,736.16 is: 299,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,647.60 : 324,000.12 = 216,736.16 : x
  2. Step 2: Convert to fraction form
    234,647.60/324,000.12 = 216,736.16/x
  3. Step 3: Cross multiply
    234,647.60x = 324,000.12 × 216,736.16
  4. Step 4: Simplify right side
    234,647.60x = 70,222,541,848.34
  5. Step 5: Solve for x
    x = 70,222,541,848.34/234,647.60
  6. Step 6: Final answer
    x = 299,268.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.