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Finding the Fourth Proportional to 515,056.32, 710,757.99 and 285,623.01

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Solution

The fourth proportional to 515,056.32, 710,757.99 and 285,623.01 is: 394,148.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,056.32 : 710,757.99 = 285,623.01 : x
  2. Step 2: Convert to fraction form
    515,056.32/710,757.99 = 285,623.01/x
  3. Step 3: Cross multiply
    515,056.32x = 710,757.99 × 285,623.01
  4. Step 4: Simplify right side
    515,056.32x = 203,008,836,485.35
  5. Step 5: Solve for x
    x = 203,008,836,485.35/515,056.32
  6. Step 6: Final answer
    x = 394,148.81

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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.