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Finding the Fourth Proportional to 430,172.34, 644,697.87 and 219,632.82

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Solution

The fourth proportional to 430,172.34, 644,697.87 and 219,632.82 is: 329,162.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,172.34 : 644,697.87 = 219,632.82 : x
  2. Step 2: Convert to fraction form
    430,172.34/644,697.87 = 219,632.82/x
  3. Step 3: Cross multiply
    430,172.34x = 644,697.87 × 219,632.82
  4. Step 4: Simplify right side
    430,172.34x = 141,596,811,236.09
  5. Step 5: Solve for x
    x = 141,596,811,236.09/430,172.34
  6. Step 6: Final answer
    x = 329,162.98

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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.