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Finding the Fourth Proportional to 425,644,903.20, 638,467,354.80 and 416,078,965.20

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Solution

The fourth proportional to 425,644,903.20, 638,467,354.80 and 416,078,965.20 is: 624,118,447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,644,903.20 : 638,467,354.80 = 416,078,965.20 : x
  2. Step 2: Convert to fraction form
    425,644,903.20/638,467,354.80 = 416,078,965.20/x
  3. Step 3: Cross multiply
    425,644,903.20x = 638,467,354.80 × 416,078,965.20
  4. Step 4: Simplify right side
    425,644,903.20x = 265,652,836,299,165,216
  5. Step 5: Solve for x
    x = 265,652,836,299,165,216/425,644,903.20
  6. Step 6: Final answer
    x = 624,118,447.80

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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.