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Finding the Fourth Proportional to 211,969.28, 317,963.64 and 149,916.80

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Solution

The fourth proportional to 211,969.28, 317,963.64 and 149,916.80 is: 224,882.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,969.28 : 317,963.64 = 149,916.80 : x
  2. Step 2: Convert to fraction form
    211,969.28/317,963.64 = 149,916.80/x
  3. Step 3: Cross multiply
    211,969.28x = 317,963.64 × 149,916.80
  4. Step 4: Simplify right side
    211,969.28x = 47,668,091,425.15
  5. Step 5: Solve for x
    x = 47,668,091,425.15/211,969.28
  6. Step 6: Final answer
    x = 224,882.07

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1.5x scale

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.