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Finding the Fourth Proportional to 514,490.31, 771,735.47 and 214,807.73

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Solution

The fourth proportional to 514,490.31, 771,735.47 and 214,807.73 is: 322,211.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,490.31 : 771,735.47 = 214,807.73 : x
  2. Step 2: Convert to fraction form
    514,490.31/771,735.47 = 214,807.73/x
  3. Step 3: Cross multiply
    514,490.31x = 771,735.47 × 214,807.73
  4. Step 4: Simplify right side
    514,490.31x = 165,774,739,538.47
  5. Step 5: Solve for x
    x = 165,774,739,538.47/514,490.31
  6. Step 6: Final answer
    x = 322,211.59

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Similar ratio
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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.