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Finding the Fourth Proportional to 309,449.58, 463,386.60 and 203,948.70

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Solution

The fourth proportional to 309,449.58, 463,386.60 and 203,948.70 is: 305,403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,449.58 : 463,386.60 = 203,948.70 : x
  2. Step 2: Convert to fraction form
    309,449.58/463,386.60 = 203,948.70/x
  3. Step 3: Cross multiply
    309,449.58x = 463,386.60 × 203,948.70
  4. Step 4: Simplify right side
    309,449.58x = 94,507,094,667.42
  5. Step 5: Solve for x
    x = 94,507,094,667.42/309,449.58
  6. Step 6: Final answer
    x = 305,403.86

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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.