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Finding the Fourth Proportional to 211,425.60, 317,138.40 and 208,315.20

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Solution

The fourth proportional to 211,425.60, 317,138.40 and 208,315.20 is: 312,472.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,425.60 : 317,138.40 = 208,315.20 : x
  2. Step 2: Convert to fraction form
    211,425.60/317,138.40 = 208,315.20/x
  3. Step 3: Cross multiply
    211,425.60x = 317,138.40 × 208,315.20
  4. Step 4: Simplify right side
    211,425.60x = 66,064,749,223.68
  5. Step 5: Solve for x
    x = 66,064,749,223.68/211,425.60
  6. Step 6: Final answer
    x = 312,472.80

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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.