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Finding the Fourth Proportional to 430,348.94, 644,276.84 and 324,180.03

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Solution

The fourth proportional to 430,348.94, 644,276.84 and 324,180.03 is: 485,331.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,348.94 : 644,276.84 = 324,180.03 : x
  2. Step 2: Convert to fraction form
    430,348.94/644,276.84 = 324,180.03/x
  3. Step 3: Cross multiply
    430,348.94x = 644,276.84 × 324,180.03
  4. Step 4: Simplify right side
    430,348.94x = 208,861,685,319.51
  5. Step 5: Solve for x
    x = 208,861,685,319.51/430,348.94
  6. Step 6: Final answer
    x = 485,331.01

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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.