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Finding the Fourth Proportional to 311,231.26, 466,477.80 and 279,492.40

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Solution

The fourth proportional to 311,231.26, 466,477.80 and 279,492.40 is: 418,907.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,231.26 : 466,477.80 = 279,492.40 : x
  2. Step 2: Convert to fraction form
    311,231.26/466,477.80 = 279,492.40/x
  3. Step 3: Cross multiply
    311,231.26x = 466,477.80 × 279,492.40
  4. Step 4: Simplify right side
    311,231.26x = 130,376,999,868.72
  5. Step 5: Solve for x
    x = 130,376,999,868.72/311,231.26
  6. Step 6: Final answer
    x = 418,907.15

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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.