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Finding the Fourth Proportional to 452,175.52, 678,580.80 and 186,178

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Solution

The fourth proportional to 452,175.52, 678,580.80 and 186,178 is: 279,397.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,175.52 : 678,580.80 = 186,178 : x
  2. Step 2: Convert to fraction form
    452,175.52/678,580.80 = 186,178/x
  3. Step 3: Cross multiply
    452,175.52x = 678,580.80 × 186,178
  4. Step 4: Simplify right side
    452,175.52x = 126,336,816,182.40
  5. Step 5: Solve for x
    x = 126,336,816,182.40/452,175.52
  6. Step 6: Final answer
    x = 279,397.74

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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.