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Finding the Fourth Proportional to 311,130, 466,695 and 89,514

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Solution

The fourth proportional to 311,130, 466,695 and 89,514 is: 134,271

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,130 : 466,695 = 89,514 : x
  2. Step 2: Convert to fraction form
    311,130/466,695 = 89,514/x
  3. Step 3: Cross multiply
    311,130x = 466,695 × 89,514
  4. Step 4: Simplify right side
    311,130x = 41,775,736,230
  5. Step 5: Solve for x
    x = 41,775,736,230/311,130
  6. Step 6: Final answer
    x = 134,271

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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.