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Finding the Fourth Proportional to 370,216.32, 510,898.56 and 200,450.40

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Solution

The fourth proportional to 370,216.32, 510,898.56 and 200,450.40 is: 276,621.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,216.32 : 510,898.56 = 200,450.40 : x
  2. Step 2: Convert to fraction form
    370,216.32/510,898.56 = 200,450.40/x
  3. Step 3: Cross multiply
    370,216.32x = 510,898.56 × 200,450.40
  4. Step 4: Simplify right side
    370,216.32x = 102,409,820,711.42
  5. Step 5: Solve for x
    x = 102,409,820,711.42/370,216.32
  6. Step 6: Final answer
    x = 276,621.57

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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.