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Finding the Fourth Proportional to 430,031.80, 644,297.94 and 261,195.40

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Solution

The fourth proportional to 430,031.80, 644,297.94 and 261,195.40 is: 391,337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,031.80 : 644,297.94 = 261,195.40 : x
  2. Step 2: Convert to fraction form
    430,031.80/644,297.94 = 261,195.40/x
  3. Step 3: Cross multiply
    430,031.80x = 644,297.94 × 261,195.40
  4. Step 4: Simplify right side
    430,031.80x = 168,287,658,157.48
  5. Step 5: Solve for x
    x = 168,287,658,157.48/430,031.80
  6. Step 6: Final answer
    x = 391,337.71

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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.