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Finding the Fourth Proportional to 309,275.58, 463,125.82 and 203,774.70

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Solution

The fourth proportional to 309,275.58, 463,125.82 and 203,774.70 is: 305,143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,275.58 : 463,125.82 = 203,774.70 : x
  2. Step 2: Convert to fraction form
    309,275.58/463,125.82 = 203,774.70/x
  3. Step 3: Cross multiply
    309,275.58x = 463,125.82 × 203,774.70
  4. Step 4: Simplify right side
    309,275.58x = 94,373,325,032.75
  5. Step 5: Solve for x
    x = 94,373,325,032.75/309,275.58
  6. Step 6: Final answer
    x = 305,143.15

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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.