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Finding the Fourth Proportional to 370,273.50, 510,977.70 and 200,507.76

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Solution

The fourth proportional to 370,273.50, 510,977.70 and 200,507.76 is: 276,700.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,273.50 : 510,977.70 = 200,507.76 : x
  2. Step 2: Convert to fraction form
    370,273.50/510,977.70 = 200,507.76/x
  3. Step 3: Cross multiply
    370,273.50x = 510,977.70 × 200,507.76
  4. Step 4: Simplify right side
    370,273.50x = 102,454,994,036.95
  5. Step 5: Solve for x
    x = 102,454,994,036.95/370,273.50
  6. Step 6: Final answer
    x = 276,700.86

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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.