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Finding the Fourth Proportional to 306,064.60, 459,096.90 and 271,947.40

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Solution

The fourth proportional to 306,064.60, 459,096.90 and 271,947.40 is: 407,921.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,064.60 : 459,096.90 = 271,947.40 : x
  2. Step 2: Convert to fraction form
    306,064.60/459,096.90 = 271,947.40/x
  3. Step 3: Cross multiply
    306,064.60x = 459,096.90 × 271,947.40
  4. Step 4: Simplify right side
    306,064.60x = 124,850,208,303.06
  5. Step 5: Solve for x
    x = 124,850,208,303.06/306,064.60
  6. Step 6: Final answer
    x = 407,921.10

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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.