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Finding the Fourth Proportional to 311,412.70, 466,756.14 and 142,950.82

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Solution

The fourth proportional to 311,412.70, 466,756.14 and 142,950.82 is: 214,259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,412.70 : 466,756.14 = 142,950.82 : x
  2. Step 2: Convert to fraction form
    311,412.70/466,756.14 = 142,950.82/x
  3. Step 3: Cross multiply
    311,412.70x = 466,756.14 × 142,950.82
  4. Step 4: Simplify right side
    311,412.70x = 66,723,172,953.03
  5. Step 5: Solve for x
    x = 66,723,172,953.03/311,412.70
  6. Step 6: Final answer
    x = 214,259.64

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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.