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Finding the Fourth Proportional to 370,156.95, 510,816.78 and 200,391.08

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Solution

The fourth proportional to 370,156.95, 510,816.78 and 200,391.08 is: 276,539.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,156.95 : 510,816.78 = 200,391.08 : x
  2. Step 2: Convert to fraction form
    370,156.95/510,816.78 = 200,391.08/x
  3. Step 3: Cross multiply
    370,156.95x = 510,816.78 × 200,391.08
  4. Step 4: Simplify right side
    370,156.95x = 102,363,123,672.24
  5. Step 5: Solve for x
    x = 102,363,123,672.24/370,156.95
  6. Step 6: Final answer
    x = 276,539.79

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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.