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Finding the Fourth Proportional to 456,816.22, 684,772.30 and 216,507.78

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Solution

The fourth proportional to 456,816.22, 684,772.30 and 216,507.78 is: 324,547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,816.22 : 684,772.30 = 216,507.78 : x
  2. Step 2: Convert to fraction form
    456,816.22/684,772.30 = 216,507.78/x
  3. Step 3: Cross multiply
    456,816.22x = 684,772.30 × 216,507.78
  4. Step 4: Simplify right side
    456,816.22x = 148,258,530,478.49
  5. Step 5: Solve for x
    x = 148,258,530,478.49/456,816.22
  6. Step 6: Final answer
    x = 324,547.43

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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.