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Finding the Fourth Proportional to 331,015.70, 456,741.22 and 216,263.81

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Solution

The fourth proportional to 331,015.70, 456,741.22 and 216,263.81 is: 298,404.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,015.70 : 456,741.22 = 216,263.81 : x
  2. Step 2: Convert to fraction form
    331,015.70/456,741.22 = 216,263.81/x
  3. Step 3: Cross multiply
    331,015.70x = 456,741.22 × 216,263.81
  4. Step 4: Simplify right side
    331,015.70x = 98,776,596,421.25
  5. Step 5: Solve for x
    x = 98,776,596,421.25/331,015.70
  6. Step 6: Final answer
    x = 298,404.57

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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.