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Finding the Fourth Proportional to 651,720,486.20, 978,714,470.10 and 345,610,470.20

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Solution

The fourth proportional to 651,720,486.20, 978,714,470.10 and 345,610,470.20 is: 519,016,933.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,720,486.20 : 978,714,470.10 = 345,610,470.20 : x
  2. Step 2: Convert to fraction form
    651,720,486.20/978,714,470.10 = 345,610,470.20/x
  3. Step 3: Cross multiply
    651,720,486.20x = 978,714,470.10 × 345,610,470.20
  4. Step 4: Simplify right side
    651,720,486.20x = 338,253,968,202,804,864
  5. Step 5: Solve for x
    x = 338,253,968,202,804,864/651,720,486.20
  6. Step 6: Final answer
    x = 519,016,933.43

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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.