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Finding the Fourth Proportional to 370,147.09, 510,803.16 and 200,381.22

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Solution

The fourth proportional to 370,147.09, 510,803.16 and 200,381.22 is: 276,526.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,147.09 : 510,803.16 = 200,381.22 : x
  2. Step 2: Convert to fraction form
    370,147.09/510,803.16 = 200,381.22/x
  3. Step 3: Cross multiply
    370,147.09x = 510,803.16 × 200,381.22
  4. Step 4: Simplify right side
    370,147.09x = 102,355,360,380.66
  5. Step 5: Solve for x
    x = 102,355,360,380.66/370,147.09
  6. Step 6: Final answer
    x = 276,526.18

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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.