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Finding the Fourth Proportional to 419,736,573.60, 629,604,860.40 and 387,487,946.40

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Solution

The fourth proportional to 419,736,573.60, 629,604,860.40 and 387,487,946.40 is: 581,231,919.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,736,573.60 : 629,604,860.40 = 387,487,946.40 : x
  2. Step 2: Convert to fraction form
    419,736,573.60/629,604,860.40 = 387,487,946.40/x
  3. Step 3: Cross multiply
    419,736,573.60x = 629,604,860.40 × 387,487,946.40
  4. Step 4: Simplify right side
    419,736,573.60x = 243,964,294,399,854,656
  5. Step 5: Solve for x
    x = 243,964,294,399,854,656/419,736,573.60
  6. Step 6: Final answer
    x = 581,231,919.60

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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.