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Finding the Fourth Proportional to 430,103.20, 644,571.60 and 287,543.20

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Solution

The fourth proportional to 430,103.20, 644,571.60 and 287,543.20 is: 430,924.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,103.20 : 644,571.60 = 287,543.20 : x
  2. Step 2: Convert to fraction form
    430,103.20/644,571.60 = 287,543.20/x
  3. Step 3: Cross multiply
    430,103.20x = 644,571.60 × 287,543.20
  4. Step 4: Simplify right side
    430,103.20x = 185,342,180,493.12
  5. Step 5: Solve for x
    x = 185,342,180,493.12/430,103.20
  6. Step 6: Final answer
    x = 430,924.90

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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.