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Finding the Fourth Proportional to 430,234.70, 645,643.65 and 280,109.30

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Solution

The fourth proportional to 430,234.70, 645,643.65 and 280,109.30 is: 420,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,234.70 : 645,643.65 = 280,109.30 : x
  2. Step 2: Convert to fraction form
    430,234.70/645,643.65 = 280,109.30/x
  3. Step 3: Cross multiply
    430,234.70x = 645,643.65 × 280,109.30
  4. Step 4: Simplify right side
    430,234.70x = 180,850,790,850.95
  5. Step 5: Solve for x
    x = 180,850,790,850.95/430,234.70
  6. Step 6: Final answer
    x = 420,353.80

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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.