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Finding the Fourth Proportional to 430,310.34, 644,203.73 and 301,781.16

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Solution

The fourth proportional to 430,310.34, 644,203.73 and 301,781.16 is: 451,786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,310.34 : 644,203.73 = 301,781.16 : x
  2. Step 2: Convert to fraction form
    430,310.34/644,203.73 = 301,781.16/x
  3. Step 3: Cross multiply
    430,310.34x = 644,203.73 × 301,781.16
  4. Step 4: Simplify right side
    430,310.34x = 194,408,549,670.18
  5. Step 5: Solve for x
    x = 194,408,549,670.18/430,310.34
  6. Step 6: Final answer
    x = 451,786.84

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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.