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Finding the Fourth Proportional to 472,588.88, 708,883.32 and 140,162

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Solution

The fourth proportional to 472,588.88, 708,883.32 and 140,162 is: 210,243

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,588.88 : 708,883.32 = 140,162 : x
  2. Step 2: Convert to fraction form
    472,588.88/708,883.32 = 140,162/x
  3. Step 3: Cross multiply
    472,588.88x = 708,883.32 × 140,162
  4. Step 4: Simplify right side
    472,588.88x = 99,358,503,897.84
  5. Step 5: Solve for x
    x = 99,358,503,897.84/472,588.88
  6. Step 6: Final answer
    x = 210,243

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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.