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Finding the Fourth Proportional to 311,475.96, 467,509.32 and 192,788.28

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Solution

The fourth proportional to 311,475.96, 467,509.32 and 192,788.28 is: 289,365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,475.96 : 467,509.32 = 192,788.28 : x
  2. Step 2: Convert to fraction form
    311,475.96/467,509.32 = 192,788.28/x
  3. Step 3: Cross multiply
    311,475.96x = 467,509.32 × 192,788.28
  4. Step 4: Simplify right side
    311,475.96x = 90,130,317,686.77
  5. Step 5: Solve for x
    x = 90,130,317,686.77/311,475.96
  6. Step 6: Final answer
    x = 289,365.25

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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.