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Finding the Fourth Proportional to 370,151.70, 510,809.52 and 200,385.84

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Solution

The fourth proportional to 370,151.70, 510,809.52 and 200,385.84 is: 276,532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,151.70 : 510,809.52 = 200,385.84 : x
  2. Step 2: Convert to fraction form
    370,151.70/510,809.52 = 200,385.84/x
  3. Step 3: Cross multiply
    370,151.70x = 510,809.52 × 200,385.84
  4. Step 4: Simplify right side
    370,151.70x = 102,358,994,745.20
  5. Step 5: Solve for x
    x = 102,358,994,745.20/370,151.70
  6. Step 6: Final answer
    x = 276,532.55

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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.