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Finding the Fourth Proportional to 419,866,012.80, 629,337,124.80 and 147,096,374.40

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Solution

The fourth proportional to 419,866,012.80, 629,337,124.80 and 147,096,374.40 is: 220,482,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,866,012.80 : 629,337,124.80 = 147,096,374.40 : x
  2. Step 2: Convert to fraction form
    419,866,012.80/629,337,124.80 = 147,096,374.40/x
  3. Step 3: Cross multiply
    419,866,012.80x = 629,337,124.80 × 147,096,374.40
  4. Step 4: Simplify right side
    419,866,012.80x = 92,573,209,333,400,320
  5. Step 5: Solve for x
    x = 92,573,209,333,400,320/419,866,012.80
  6. Step 6: Final answer
    x = 220,482,740.95

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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.