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Finding the Fourth Proportional to 295,311.10, 407,529.20 and 161,175.10

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Solution

The fourth proportional to 295,311.10, 407,529.20 and 161,175.10 is: 222,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,311.10 : 407,529.20 = 161,175.10 : x
  2. Step 2: Convert to fraction form
    295,311.10/407,529.20 = 161,175.10/x
  3. Step 3: Cross multiply
    295,311.10x = 407,529.20 × 161,175.10
  4. Step 4: Simplify right side
    295,311.10x = 65,683,559,562.92
  5. Step 5: Solve for x
    x = 65,683,559,562.92/295,311.10
  6. Step 6: Final answer
    x = 222,421.57

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1.5x scale

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.