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Finding the Fourth Proportional to 306,504.78, 459,738.64 and 114,342.20

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Solution

The fourth proportional to 306,504.78, 459,738.64 and 114,342.20 is: 171,506.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,504.78 : 459,738.64 = 114,342.20 : x
  2. Step 2: Convert to fraction form
    306,504.78/459,738.64 = 114,342.20/x
  3. Step 3: Cross multiply
    306,504.78x = 459,738.64 × 114,342.20
  4. Step 4: Simplify right side
    306,504.78x = 52,567,527,522.61
  5. Step 5: Solve for x
    x = 52,567,527,522.61/306,504.78
  6. Step 6: Final answer
    x = 171,506.39

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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.