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Finding the Fourth Proportional to 472,632.60, 708,704.10 and 140,165.40

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Solution

The fourth proportional to 472,632.60, 708,704.10 and 140,165.40 is: 210,175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,632.60 : 708,704.10 = 140,165.40 : x
  2. Step 2: Convert to fraction form
    472,632.60/708,704.10 = 140,165.40/x
  3. Step 3: Cross multiply
    472,632.60x = 708,704.10 × 140,165.40
  4. Step 4: Simplify right side
    472,632.60x = 99,335,793,658.14
  5. Step 5: Solve for x
    x = 99,335,793,658.14/472,632.60
  6. Step 6: Final answer
    x = 210,175.50

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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.