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Finding the Fourth Proportional to 211,232.64, 316,061.52 and 208,870.56

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Solution

The fourth proportional to 211,232.64, 316,061.52 and 208,870.56 is: 312,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,232.64 : 316,061.52 = 208,870.56 : x
  2. Step 2: Convert to fraction form
    211,232.64/316,061.52 = 208,870.56/x
  3. Step 3: Cross multiply
    211,232.64x = 316,061.52 × 208,870.56
  4. Step 4: Simplify right side
    211,232.64x = 66,015,946,676.85
  5. Step 5: Solve for x
    x = 66,015,946,676.85/211,232.64
  6. Step 6: Final answer
    x = 312,527.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.