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Finding the Fourth Proportional to 210,806.42, 290,831.11 and 134,311.84

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Solution

The fourth proportional to 210,806.42, 290,831.11 and 134,311.84 is: 185,298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,806.42 : 290,831.11 = 134,311.84 : x
  2. Step 2: Convert to fraction form
    210,806.42/290,831.11 = 134,311.84/x
  3. Step 3: Cross multiply
    210,806.42x = 290,831.11 × 134,311.84
  4. Step 4: Simplify right side
    210,806.42x = 39,062,060,450.49
  5. Step 5: Solve for x
    x = 39,062,060,450.49/210,806.42
  6. Step 6: Final answer
    x = 185,298.25

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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.