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Finding the Fourth Proportional to 452,274, 678,457.44 and 119,850

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Solution

The fourth proportional to 452,274, 678,457.44 and 119,850 is: 179,787.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,274 : 678,457.44 = 119,850 : x
  2. Step 2: Convert to fraction form
    452,274/678,457.44 = 119,850/x
  3. Step 3: Cross multiply
    452,274x = 678,457.44 × 119,850
  4. Step 4: Simplify right side
    452,274x = 81,313,124,184
  5. Step 5: Solve for x
    x = 81,313,124,184/452,274
  6. Step 6: Final answer
    x = 179,787.31

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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.