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Finding the Fourth Proportional to 472,392,978.40, 708,589,467.60 and 165,645,233.20

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Solution

The fourth proportional to 472,392,978.40, 708,589,467.60 and 165,645,233.20 is: 248,467,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,978.40 : 708,589,467.60 = 165,645,233.20 : x
  2. Step 2: Convert to fraction form
    472,392,978.40/708,589,467.60 = 165,645,233.20/x
  3. Step 3: Cross multiply
    472,392,978.40x = 708,589,467.60 × 165,645,233.20
  4. Step 4: Simplify right side
    472,392,978.40x = 117,374,467,603,665,840
  5. Step 5: Solve for x
    x = 117,374,467,603,665,840/472,392,978.40
  6. Step 6: Final answer
    x = 248,467,849.80

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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.