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Finding the Fourth Proportional to 580,627,965.40, 870,375,077.70 and 519,405,962.20

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Solution

The fourth proportional to 580,627,965.40, 870,375,077.70 and 519,405,962.20 is: 778,601,844.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,627,965.40 : 870,375,077.70 = 519,405,962.20 : x
  2. Step 2: Convert to fraction form
    580,627,965.40/870,375,077.70 = 519,405,962.20/x
  3. Step 3: Cross multiply
    580,627,965.40x = 870,375,077.70 × 519,405,962.20
  4. Step 4: Simplify right side
    580,627,965.40x = 452,078,004,707,668,288
  5. Step 5: Solve for x
    x = 452,078,004,707,668,288/580,627,965.40
  6. Step 6: Final answer
    x = 778,601,844.29

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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.