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Finding the Fourth Proportional to 345,912.80, 477,286.88 and 210,018.16

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Solution

The fourth proportional to 345,912.80, 477,286.88 and 210,018.16 is: 289,780.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,912.80 : 477,286.88 = 210,018.16 : x
  2. Step 2: Convert to fraction form
    345,912.80/477,286.88 = 210,018.16/x
  3. Step 3: Cross multiply
    345,912.80x = 477,286.88 × 210,018.16
  4. Step 4: Simplify right side
    345,912.80x = 100,238,912,329.74
  5. Step 5: Solve for x
    x = 100,238,912,329.74/345,912.80
  6. Step 6: Final answer
    x = 289,780.87

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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.