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Finding the Fourth Proportional to 377,574, 520,934.76 and 214,203.56

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Solution

The fourth proportional to 377,574, 520,934.76 and 214,203.56 is: 295,534.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,574 : 520,934.76 = 214,203.56 : x
  2. Step 2: Convert to fraction form
    377,574/520,934.76 = 214,203.56/x
  3. Step 3: Cross multiply
    377,574x = 520,934.76 × 214,203.56
  4. Step 4: Simplify right side
    377,574x = 111,586,080,119.75
  5. Step 5: Solve for x
    x = 111,586,080,119.75/377,574
  6. Step 6: Final answer
    x = 295,534.33

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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.