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Finding the Fourth Proportional to 309,194.28, 463,768.74 and 98,775.72

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Solution

The fourth proportional to 309,194.28, 463,768.74 and 98,775.72 is: 148,156.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,194.28 : 463,768.74 = 98,775.72 : x
  2. Step 2: Convert to fraction form
    309,194.28/463,768.74 = 98,775.72/x
  3. Step 3: Cross multiply
    309,194.28x = 463,768.74 × 98,775.72
  4. Step 4: Simplify right side
    309,194.28x = 45,809,091,206.99
  5. Step 5: Solve for x
    x = 45,809,091,206.99/309,194.28
  6. Step 6: Final answer
    x = 148,156.33

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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.