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Finding the Fourth Proportional to 430,328.70, 645,784.65 and 280,203.30

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Solution

The fourth proportional to 430,328.70, 645,784.65 and 280,203.30 is: 420,494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,328.70 : 645,784.65 = 280,203.30 : x
  2. Step 2: Convert to fraction form
    430,328.70/645,784.65 = 280,203.30/x
  3. Step 3: Cross multiply
    430,328.70x = 645,784.65 × 280,203.30
  4. Step 4: Simplify right side
    430,328.70x = 180,950,990,019.35
  5. Step 5: Solve for x
    x = 180,950,990,019.35/430,328.70
  6. Step 6: Final answer
    x = 420,494.82

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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.