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Finding the Fourth Proportional to 370,154.20, 510,812.16 and 200,388.28

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Solution

The fourth proportional to 370,154.20, 510,812.16 and 200,388.28 is: 276,535.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,154.20 : 510,812.16 = 200,388.28 : x
  2. Step 2: Convert to fraction form
    370,154.20/510,812.16 = 200,388.28/x
  3. Step 3: Cross multiply
    370,154.20x = 510,812.16 × 200,388.28
  4. Step 4: Simplify right side
    370,154.20x = 102,360,770,145.49
  5. Step 5: Solve for x
    x = 102,360,770,145.49/370,154.20
  6. Step 6: Final answer
    x = 276,535.48

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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.