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Finding the Fourth Proportional to 430,171.84, 644,697.12 and 219,632.32

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Solution

The fourth proportional to 430,171.84, 644,697.12 and 219,632.32 is: 329,162.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,171.84 : 644,697.12 = 219,632.32 : x
  2. Step 2: Convert to fraction form
    430,171.84/644,697.12 = 219,632.32/x
  3. Step 3: Cross multiply
    430,171.84x = 644,697.12 × 219,632.32
  4. Step 4: Simplify right side
    430,171.84x = 141,596,324,162.92
  5. Step 5: Solve for x
    x = 141,596,324,162.92/430,171.84
  6. Step 6: Final answer
    x = 329,162.23

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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.