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Finding the Fourth Proportional to 311,590.89, 467,199.56 and 142,899.93

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Solution

The fourth proportional to 311,590.89, 467,199.56 and 142,899.93 is: 214,264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,590.89 : 467,199.56 = 142,899.93 : x
  2. Step 2: Convert to fraction form
    311,590.89/467,199.56 = 142,899.93/x
  3. Step 3: Cross multiply
    311,590.89x = 467,199.56 × 142,899.93
  4. Step 4: Simplify right side
    311,590.89x = 66,762,783,705.53
  5. Step 5: Solve for x
    x = 66,762,783,705.53/311,590.89
  6. Step 6: Final answer
    x = 214,264.24

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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.