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Finding the Fourth Proportional to 472,393,318.80, 708,589,978.20 and 442,160,230.80

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Solution

The fourth proportional to 472,393,318.80, 708,589,978.20 and 442,160,230.80 is: 663,240,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,393,318.80 : 708,589,978.20 = 442,160,230.80 : x
  2. Step 2: Convert to fraction form
    472,393,318.80/708,589,978.20 = 442,160,230.80/x
  3. Step 3: Cross multiply
    472,393,318.80x = 708,589,978.20 × 442,160,230.80
  4. Step 4: Simplify right side
    472,393,318.80x = 313,310,308,303,478,976
  5. Step 5: Solve for x
    x = 313,310,308,303,478,976/472,393,318.80
  6. Step 6: Final answer
    x = 663,240,346.20

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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.