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Finding the Fourth Proportional to 514,820.80, 771,616.80 and 215,300.80

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Solution

The fourth proportional to 514,820.80, 771,616.80 and 215,300.80 is: 322,694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,820.80 : 771,616.80 = 215,300.80 : x
  2. Step 2: Convert to fraction form
    514,820.80/771,616.80 = 215,300.80/x
  3. Step 3: Cross multiply
    514,820.80x = 771,616.80 × 215,300.80
  4. Step 4: Simplify right side
    514,820.80x = 166,129,714,333.44
  5. Step 5: Solve for x
    x = 166,129,714,333.44/514,820.80
  6. Step 6: Final answer
    x = 322,694.25

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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.