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Finding the Fourth Proportional to 210,817.28, 315,719.21 and 120,586.45

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Solution

The fourth proportional to 210,817.28, 315,719.21 and 120,586.45 is: 180,589.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,817.28 : 315,719.21 = 120,586.45 : x
  2. Step 2: Convert to fraction form
    210,817.28/315,719.21 = 120,586.45/x
  3. Step 3: Cross multiply
    210,817.28x = 315,719.21 × 120,586.45
  4. Step 4: Simplify right side
    210,817.28x = 38,071,458,730.70
  5. Step 5: Solve for x
    x = 38,071,458,730.70/210,817.28
  6. Step 6: Final answer
    x = 180,589.84

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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.