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Finding the Fourth Proportional to 231,908.54, 319,859.67 and 155,514.20

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Solution

The fourth proportional to 231,908.54, 319,859.67 and 155,514.20 is: 214,492.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,908.54 : 319,859.67 = 155,514.20 : x
  2. Step 2: Convert to fraction form
    231,908.54/319,859.67 = 155,514.20/x
  3. Step 3: Cross multiply
    231,908.54x = 319,859.67 × 155,514.20
  4. Step 4: Simplify right side
    231,908.54x = 49,742,720,692.31
  5. Step 5: Solve for x
    x = 49,742,720,692.31/231,908.54
  6. Step 6: Final answer
    x = 214,492.84

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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.