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Finding the Fourth Proportional to 2,765,960, 4,149,640.16 and 771,416

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Solution

The fourth proportional to 2,765,960, 4,149,640.16 and 771,416 is: 1,157,319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765,960 : 4,149,640.16 = 771,416 : x
  2. Step 2: Convert to fraction form
    2,765,960/4,149,640.16 = 771,416/x
  3. Step 3: Cross multiply
    2,765,960x = 4,149,640.16 × 771,416
  4. Step 4: Simplify right side
    2,765,960x = 3,201,098,813,666.56
  5. Step 5: Solve for x
    x = 3,201,098,813,666.56/2,765,960
  6. Step 6: Final answer
    x = 1,157,319.27

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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.