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Finding the Fourth Proportional to 869,165,719.80, 1,303,748,579.70 and 665,092,375.80

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Solution

The fourth proportional to 869,165,719.80, 1,303,748,579.70 and 665,092,375.80 is: 997,638,563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,165,719.80 : 1,303,748,579.70 = 665,092,375.80 : x
  2. Step 2: Convert to fraction form
    869,165,719.80/1,303,748,579.70 = 665,092,375.80/x
  3. Step 3: Cross multiply
    869,165,719.80x = 1,303,748,579.70 × 665,092,375.80
  4. Step 4: Simplify right side
    869,165,719.80x = 867,113,240,318,548,608
  5. Step 5: Solve for x
    x = 867,113,240,318,548,608/869,165,719.80
  6. Step 6: Final answer
    x = 997,638,563.70

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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.