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Finding the Fourth Proportional to 472,393,211.80, 708,589,817.70 and 239,940,918.40

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Solution

The fourth proportional to 472,393,211.80, 708,589,817.70 and 239,940,918.40 is: 359,911,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,393,211.80 : 708,589,817.70 = 239,940,918.40 : x
  2. Step 2: Convert to fraction form
    472,393,211.80/708,589,817.70 = 239,940,918.40/x
  3. Step 3: Cross multiply
    472,393,211.80x = 708,589,817.70 × 239,940,918.40
  4. Step 4: Simplify right side
    472,393,211.80x = 170,019,691,627,826,592
  5. Step 5: Solve for x
    x = 170,019,691,627,826,592/472,393,211.80
  6. Step 6: Final answer
    x = 359,911,377.60

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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.