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Finding the Fourth Proportional to 348,499.10, 480,751.44 and 227,711

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Solution

The fourth proportional to 348,499.10, 480,751.44 and 227,711 is: 314,125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,499.10 : 480,751.44 = 227,711 : x
  2. Step 2: Convert to fraction form
    348,499.10/480,751.44 = 227,711/x
  3. Step 3: Cross multiply
    348,499.10x = 480,751.44 × 227,711
  4. Step 4: Simplify right side
    348,499.10x = 109,472,391,153.84
  5. Step 5: Solve for x
    x = 109,472,391,153.84/348,499.10
  6. Step 6: Final answer
    x = 314,125.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.