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Finding the Fourth Proportional to 480,820.44, 721,033.80 and 214,398.72

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Solution

The fourth proportional to 480,820.44, 721,033.80 and 214,398.72 is: 321,510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,820.44 : 721,033.80 = 214,398.72 : x
  2. Step 2: Convert to fraction form
    480,820.44/721,033.80 = 214,398.72/x
  3. Step 3: Cross multiply
    480,820.44x = 721,033.80 × 214,398.72
  4. Step 4: Simplify right side
    480,820.44x = 154,588,723,796.74
  5. Step 5: Solve for x
    x = 154,588,723,796.74/480,820.44
  6. Step 6: Final answer
    x = 321,510.30

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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.