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Finding the Fourth Proportional to 978,449,722.88, 1,350,316,490.24 and 560,831,608.32

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Solution

The fourth proportional to 978,449,722.88, 1,350,316,490.24 and 560,831,608.32 is: 773,979,644.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,449,722.88 : 1,350,316,490.24 = 560,831,608.32 : x
  2. Step 2: Convert to fraction form
    978,449,722.88/1,350,316,490.24 = 560,831,608.32/x
  3. Step 3: Cross multiply
    978,449,722.88x = 1,350,316,490.24 × 560,831,608.32
  4. Step 4: Simplify right side
    978,449,722.88x = 757,300,168,962,316,800
  5. Step 5: Solve for x
    x = 757,300,168,962,316,800/978,449,722.88
  6. Step 6: Final answer
    x = 773,979,644.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.