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Finding the Fourth Proportional to 190,323, 285,473.70 and 57,200.58

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Solution

The fourth proportional to 190,323, 285,473.70 and 57,200.58 is: 85,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,323 : 285,473.70 = 57,200.58 : x
  2. Step 2: Convert to fraction form
    190,323/285,473.70 = 57,200.58/x
  3. Step 3: Cross multiply
    190,323x = 285,473.70 × 57,200.58
  4. Step 4: Simplify right side
    190,323x = 16,329,261,214.75
  5. Step 5: Solve for x
    x = 16,329,261,214.75/190,323
  6. Step 6: Final answer
    x = 85,797.62

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1.5x scale

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.