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Finding the Fourth Proportional to 371,566.58, 512,742.76 and 201,800.30

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Solution

The fourth proportional to 371,566.58, 512,742.76 and 201,800.30 is: 278,474.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,566.58 : 512,742.76 = 201,800.30 : x
  2. Step 2: Convert to fraction form
    371,566.58/512,742.76 = 201,800.30/x
  3. Step 3: Cross multiply
    371,566.58x = 512,742.76 × 201,800.30
  4. Step 4: Simplify right side
    371,566.58x = 103,471,639,722.61
  5. Step 5: Solve for x
    x = 103,471,639,722.61/371,566.58
  6. Step 6: Final answer
    x = 278,474.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.