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Finding the Fourth Proportional to 456,221.70, 684,318.30 and 189,975.48

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Solution

The fourth proportional to 456,221.70, 684,318.30 and 189,975.48 is: 284,957.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,221.70 : 684,318.30 = 189,975.48 : x
  2. Step 2: Convert to fraction form
    456,221.70/684,318.30 = 189,975.48/x
  3. Step 3: Cross multiply
    456,221.70x = 684,318.30 × 189,975.48
  4. Step 4: Simplify right side
    456,221.70x = 130,003,697,515.28
  5. Step 5: Solve for x
    x = 130,003,697,515.28/456,221.70
  6. Step 6: Final answer
    x = 284,957.29

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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.