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Finding the Fourth Proportional to 306,086.20, 459,129.30 and 257,097.40

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Solution

The fourth proportional to 306,086.20, 459,129.30 and 257,097.40 is: 385,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,086.20 : 459,129.30 = 257,097.40 : x
  2. Step 2: Convert to fraction form
    306,086.20/459,129.30 = 257,097.40/x
  3. Step 3: Cross multiply
    306,086.20x = 459,129.30 × 257,097.40
  4. Step 4: Simplify right side
    306,086.20x = 118,040,949,293.82
  5. Step 5: Solve for x
    x = 118,040,949,293.82/306,086.20
  6. Step 6: Final answer
    x = 385,646.10

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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.