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Finding the Fourth Proportional to 452,196.60, 678,392.10 and 136,685.40

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Solution

The fourth proportional to 452,196.60, 678,392.10 and 136,685.40 is: 205,057.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,196.60 : 678,392.10 = 136,685.40 : x
  2. Step 2: Convert to fraction form
    452,196.60/678,392.10 = 136,685.40/x
  3. Step 3: Cross multiply
    452,196.60x = 678,392.10 × 136,685.40
  4. Step 4: Simplify right side
    452,196.60x = 92,726,295,545.34
  5. Step 5: Solve for x
    x = 92,726,295,545.34/452,196.60
  6. Step 6: Final answer
    x = 205,057.48

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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.