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Finding the Fourth Proportional to 430,147.35, 643,959.30 and 301,617.96

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Solution

The fourth proportional to 430,147.35, 643,959.30 and 301,617.96 is: 451,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,147.35 : 643,959.30 = 301,617.96 : x
  2. Step 2: Convert to fraction form
    430,147.35/643,959.30 = 301,617.96/x
  3. Step 3: Cross multiply
    430,147.35x = 643,959.30 × 301,617.96
  4. Step 4: Simplify right side
    430,147.35x = 194,229,690,389.03
  5. Step 5: Solve for x
    x = 194,229,690,389.03/430,147.35
  6. Step 6: Final answer
    x = 451,542.22

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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.