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Finding the Fourth Proportional to 517,727.56, 714,457.21 and 285,150.03

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Solution

The fourth proportional to 517,727.56, 714,457.21 and 285,150.03 is: 393,503.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,727.56 : 714,457.21 = 285,150.03 : x
  2. Step 2: Convert to fraction form
    517,727.56/714,457.21 = 285,150.03/x
  3. Step 3: Cross multiply
    517,727.56x = 714,457.21 × 285,150.03
  4. Step 4: Simplify right side
    517,727.56x = 203,727,494,865.22
  5. Step 5: Solve for x
    x = 203,727,494,865.22/517,727.56
  6. Step 6: Final answer
    x = 393,503.28

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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.