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Finding the Fourth Proportional to 452,460.75, 678,778.60 and 171,956.13

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Solution

The fourth proportional to 452,460.75, 678,778.60 and 171,956.13 is: 257,967.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,460.75 : 678,778.60 = 171,956.13 : x
  2. Step 2: Convert to fraction form
    452,460.75/678,778.60 = 171,956.13/x
  3. Step 3: Cross multiply
    452,460.75x = 678,778.60 × 171,956.13
  4. Step 4: Simplify right side
    452,460.75x = 116,720,141,182.82
  5. Step 5: Solve for x
    x = 116,720,141,182.82/452,460.75
  6. Step 6: Final answer
    x = 257,967.44

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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.