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Finding the Fourth Proportional to 472,393,944.60, 708,590,916.90 and 420,737,879.40

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Solution

The fourth proportional to 472,393,944.60, 708,590,916.90 and 420,737,879.40 is: 631,106,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,393,944.60 : 708,590,916.90 = 420,737,879.40 : x
  2. Step 2: Convert to fraction form
    472,393,944.60/708,590,916.90 = 420,737,879.40/x
  3. Step 3: Cross multiply
    472,393,944.60x = 708,590,916.90 × 420,737,879.40
  4. Step 4: Simplify right side
    472,393,944.60x = 298,131,039,738,607,616
  5. Step 5: Solve for x
    x = 298,131,039,738,607,616/472,393,944.60
  6. Step 6: Final answer
    x = 631,106,819.10

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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.