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Finding the Fourth Proportional to 285,313.32, 427,809.90 and 195,457.56

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Solution

The fourth proportional to 285,313.32, 427,809.90 and 195,457.56 is: 293,076.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,313.32 : 427,809.90 = 195,457.56 : x
  2. Step 2: Convert to fraction form
    285,313.32/427,809.90 = 195,457.56/x
  3. Step 3: Cross multiply
    285,313.32x = 427,809.90 × 195,457.56
  4. Step 4: Simplify right side
    285,313.32x = 83,618,679,197.84
  5. Step 5: Solve for x
    x = 83,618,679,197.84/285,313.32
  6. Step 6: Final answer
    x = 293,076.68

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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.