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Finding the Fourth Proportional to 408,074.60, 612,111.90 and 347,713.40

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Solution

The fourth proportional to 408,074.60, 612,111.90 and 347,713.40 is: 521,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,074.60 : 612,111.90 = 347,713.40 : x
  2. Step 2: Convert to fraction form
    408,074.60/612,111.90 = 347,713.40/x
  3. Step 3: Cross multiply
    408,074.60x = 612,111.90 × 347,713.40
  4. Step 4: Simplify right side
    408,074.60x = 212,839,509,929.46
  5. Step 5: Solve for x
    x = 212,839,509,929.46/408,074.60
  6. Step 6: Final answer
    x = 521,570.10

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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.