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Finding the Fourth Proportional to 341,486.40, 511,063.20 and 313,492.80

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Solution

The fourth proportional to 341,486.40, 511,063.20 and 313,492.80 is: 469,168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,486.40 : 511,063.20 = 313,492.80 : x
  2. Step 2: Convert to fraction form
    341,486.40/511,063.20 = 313,492.80/x
  3. Step 3: Cross multiply
    341,486.40x = 511,063.20 × 313,492.80
  4. Step 4: Simplify right side
    341,486.40x = 160,214,633,544.96
  5. Step 5: Solve for x
    x = 160,214,633,544.96/341,486.40
  6. Step 6: Final answer
    x = 469,168.42

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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.