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Finding the Fourth Proportional to 309,490.76, 464,236.14 and 204,285.13

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Solution

The fourth proportional to 309,490.76, 464,236.14 and 204,285.13 is: 306,427.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,490.76 : 464,236.14 = 204,285.13 : x
  2. Step 2: Convert to fraction form
    309,490.76/464,236.14 = 204,285.13/x
  3. Step 3: Cross multiply
    309,490.76x = 464,236.14 × 204,285.13
  4. Step 4: Simplify right side
    309,490.76x = 94,836,537,889.42
  5. Step 5: Solve for x
    x = 94,836,537,889.42/309,490.76
  6. Step 6: Final answer
    x = 306,427.69

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1.5x scale

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.