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Finding the Fourth Proportional to 430,081.70, 644,903.85 and 252,643.10

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Solution

The fourth proportional to 430,081.70, 644,903.85 and 252,643.10 is: 378,836.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,081.70 : 644,903.85 = 252,643.10 : x
  2. Step 2: Convert to fraction form
    430,081.70/644,903.85 = 252,643.10/x
  3. Step 3: Cross multiply
    430,081.70x = 644,903.85 × 252,643.10
  4. Step 4: Simplify right side
    430,081.70x = 162,930,507,865.94
  5. Step 5: Solve for x
    x = 162,930,507,865.94/430,081.70
  6. Step 6: Final answer
    x = 378,836.18

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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.