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Finding the Fourth Proportional to 309,021.60, 463,443.12 and 140,448

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Solution

The fourth proportional to 309,021.60, 463,443.12 and 140,448 is: 210,631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,021.60 : 463,443.12 = 140,448 : x
  2. Step 2: Convert to fraction form
    309,021.60/463,443.12 = 140,448/x
  3. Step 3: Cross multiply
    309,021.60x = 463,443.12 × 140,448
  4. Step 4: Simplify right side
    309,021.60x = 65,089,659,317.76
  5. Step 5: Solve for x
    x = 65,089,659,317.76/309,021.60
  6. Step 6: Final answer
    x = 210,631.42

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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.