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Finding the Fourth Proportional to 284,337,807.60, 399,220,843.20 and 284,337,807.60

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Solution

The fourth proportional to 284,337,807.60, 399,220,843.20 and 284,337,807.60 is: 399,220,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,337,807.60 : 399,220,843.20 = 284,337,807.60 : x
  2. Step 2: Convert to fraction form
    284,337,807.60/399,220,843.20 = 284,337,807.60/x
  3. Step 3: Cross multiply
    284,337,807.60x = 399,220,843.20 × 284,337,807.60
  4. Step 4: Simplify right side
    284,337,807.60x = 113,513,579,303,711,376
  5. Step 5: Solve for x
    x = 113,513,579,303,711,376/284,337,807.60
  6. Step 6: Final answer
    x = 399,220,843.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.