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Finding the Fourth Proportional to 329,825,688.80, 494,794,520.40 and 99,792,946.40

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Solution

The fourth proportional to 329,825,688.80, 494,794,520.40 and 99,792,946.40 is: 149,706,359.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,825,688.80 : 494,794,520.40 = 99,792,946.40 : x
  2. Step 2: Convert to fraction form
    329,825,688.80/494,794,520.40 = 99,792,946.40/x
  3. Step 3: Cross multiply
    329,825,688.80x = 494,794,520.40 × 99,792,946.40
  4. Step 4: Simplify right side
    329,825,688.80x = 49,377,003,053,290,904
  5. Step 5: Solve for x
    x = 49,377,003,053,290,904/329,825,688.80
  6. Step 6: Final answer
    x = 149,706,359.24

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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.