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Finding the Fourth Proportional to 1,163,492,906.60, 1,745,239,359.90 and 728,136,439.40

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Solution

The fourth proportional to 1,163,492,906.60, 1,745,239,359.90 and 728,136,439.40 is: 1,092,204,659.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163,492,906.60 : 1,745,239,359.90 = 728,136,439.40 : x
  2. Step 2: Convert to fraction form
    1,163,492,906.60/1,745,239,359.90 = 728,136,439.40/x
  3. Step 3: Cross multiply
    1,163,492,906.60x = 1,745,239,359.90 × 728,136,439.40
  4. Step 4: Simplify right side
    1,163,492,906.60x = 1,270,772,373,418,321,152
  5. Step 5: Solve for x
    x = 1,270,772,373,418,321,152/1,163,492,906.60
  6. Step 6: Final answer
    x = 1,092,204,659.10

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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.