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Finding the Fourth Proportional to 472,410.90, 708,408.59 and 172,813.77

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Solution

The fourth proportional to 472,410.90, 708,408.59 and 172,813.77 is: 259,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,410.90 : 708,408.59 = 172,813.77 : x
  2. Step 2: Convert to fraction form
    472,410.90/708,408.59 = 172,813.77/x
  3. Step 3: Cross multiply
    472,410.90x = 708,408.59 × 172,813.77
  4. Step 4: Simplify right side
    472,410.90x = 122,422,758,274.22
  5. Step 5: Solve for x
    x = 122,422,758,274.22/472,410.90
  6. Step 6: Final answer
    x = 259,144.65

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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.