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Finding the Fourth Proportional to 514,990.56, 710,679.62 and 285,548.29

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Solution

The fourth proportional to 514,990.56, 710,679.62 and 285,548.29 is: 394,052.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,990.56 : 710,679.62 = 285,548.29 : x
  2. Step 2: Convert to fraction form
    514,990.56/710,679.62 = 285,548.29/x
  3. Step 3: Cross multiply
    514,990.56x = 710,679.62 × 285,548.29
  4. Step 4: Simplify right side
    514,990.56x = 202,933,349,166.02
  5. Step 5: Solve for x
    x = 202,933,349,166.02/514,990.56
  6. Step 6: Final answer
    x = 394,052.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.