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Finding the Fourth Proportional to 306,289.63, 459,507.11 and 103,881.89

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Solution

The fourth proportional to 306,289.63, 459,507.11 and 103,881.89 is: 155,847.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,289.63 : 459,507.11 = 103,881.89 : x
  2. Step 2: Convert to fraction form
    306,289.63/459,507.11 = 103,881.89/x
  3. Step 3: Cross multiply
    306,289.63x = 459,507.11 × 103,881.89
  4. Step 4: Simplify right side
    306,289.63x = 47,734,465,906.47
  5. Step 5: Solve for x
    x = 47,734,465,906.47/306,289.63
  6. Step 6: Final answer
    x = 155,847.48

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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.