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Finding the Fourth Proportional to 452,420.75, 678,630.74 and 115,461.38

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Solution

The fourth proportional to 452,420.75, 678,630.74 and 115,461.38 is: 173,191.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,420.75 : 678,630.74 = 115,461.38 : x
  2. Step 2: Convert to fraction form
    452,420.75/678,630.74 = 115,461.38/x
  3. Step 3: Cross multiply
    452,420.75x = 678,630.74 × 115,461.38
  4. Step 4: Simplify right side
    452,420.75x = 78,355,638,069.01
  5. Step 5: Solve for x
    x = 78,355,638,069.01/452,420.75
  6. Step 6: Final answer
    x = 173,191.96

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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.