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Finding the Fourth Proportional to 472,128.80, 706,465.20 and 347,712.80

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Solution

The fourth proportional to 472,128.80, 706,465.20 and 347,712.80 is: 520,296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,128.80 : 706,465.20 = 347,712.80 : x
  2. Step 2: Convert to fraction form
    472,128.80/706,465.20 = 347,712.80/x
  3. Step 3: Cross multiply
    472,128.80x = 706,465.20 × 347,712.80
  4. Step 4: Simplify right side
    472,128.80x = 245,646,992,794.56
  5. Step 5: Solve for x
    x = 245,646,992,794.56/472,128.80
  6. Step 6: Final answer
    x = 520,296.56

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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.