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Finding the Fourth Proportional to 715,824,324.59, 987,822,084.86 and 414,422,346.49

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Solution

The fourth proportional to 715,824,324.59, 987,822,084.86 and 414,422,346.49 is: 571,893,874.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,824,324.59 : 987,822,084.86 = 414,422,346.49 : x
  2. Step 2: Convert to fraction form
    715,824,324.59/987,822,084.86 = 414,422,346.49/x
  3. Step 3: Cross multiply
    715,824,324.59x = 987,822,084.86 × 414,422,346.49
  4. Step 4: Simplify right side
    715,824,324.59x = 409,375,546,320,962,816
  5. Step 5: Solve for x
    x = 409,375,546,320,962,816/715,824,324.59
  6. Step 6: Final answer
    x = 571,893,874.32

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1.5x scale

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.