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Finding the Fourth Proportional to 312,538.16, 468,814.13 and 216,380.63

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Solution

The fourth proportional to 312,538.16, 468,814.13 and 216,380.63 is: 324,575.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,538.16 : 468,814.13 = 216,380.63 : x
  2. Step 2: Convert to fraction form
    312,538.16/468,814.13 = 216,380.63/x
  3. Step 3: Cross multiply
    312,538.16x = 468,814.13 × 216,380.63
  4. Step 4: Simplify right side
    312,538.16x = 101,442,297,703.86
  5. Step 5: Solve for x
    x = 101,442,297,703.86/312,538.16
  6. Step 6: Final answer
    x = 324,575.72

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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.