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Finding the Fourth Proportional to 370,200.30, 510,878 and 200,434.42

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Solution

The fourth proportional to 370,200.30, 510,878 and 200,434.42 is: 276,600.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,200.30 : 510,878 = 200,434.42 : x
  2. Step 2: Convert to fraction form
    370,200.30/510,878 = 200,434.42/x
  3. Step 3: Cross multiply
    370,200.30x = 510,878 × 200,434.42
  4. Step 4: Simplify right side
    370,200.30x = 102,397,535,620.76
  5. Step 5: Solve for x
    x = 102,397,535,620.76/370,200.30
  6. Step 6: Final answer
    x = 276,600.36

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1.5x scale

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.