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Finding the Fourth Proportional to 231,271.80, 319,038.17 and 154,794.09

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Solution

The fourth proportional to 231,271.80, 319,038.17 and 154,794.09 is: 213,537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,271.80 : 319,038.17 = 154,794.09 : x
  2. Step 2: Convert to fraction form
    231,271.80/319,038.17 = 154,794.09/x
  3. Step 3: Cross multiply
    231,271.80x = 319,038.17 × 154,794.09
  4. Step 4: Simplify right side
    231,271.80x = 49,385,223,200.42
  5. Step 5: Solve for x
    x = 49,385,223,200.42/231,271.80
  6. Step 6: Final answer
    x = 213,537.59

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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.