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Finding the Fourth Proportional to 472,620.60, 708,686.10 and 140,153.40

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Solution

The fourth proportional to 472,620.60, 708,686.10 and 140,153.40 is: 210,157.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,620.60 : 708,686.10 = 140,153.40 : x
  2. Step 2: Convert to fraction form
    472,620.60/708,686.10 = 140,153.40/x
  3. Step 3: Cross multiply
    472,620.60x = 708,686.10 × 140,153.40
  4. Step 4: Simplify right side
    472,620.60x = 99,324,766,447.74
  5. Step 5: Solve for x
    x = 99,324,766,447.74/472,620.60
  6. Step 6: Final answer
    x = 210,157.51

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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.