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Finding the Fourth Proportional to 613,994.38, 847,290.88 and 342,048.22

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Solution

The fourth proportional to 613,994.38, 847,290.88 and 342,048.22 is: 472,014.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,994.38 : 847,290.88 = 342,048.22 : x
  2. Step 2: Convert to fraction form
    613,994.38/847,290.88 = 342,048.22/x
  3. Step 3: Cross multiply
    613,994.38x = 847,290.88 × 342,048.22
  4. Step 4: Simplify right side
    613,994.38x = 289,814,335,635.57
  5. Step 5: Solve for x
    x = 289,814,335,635.57/613,994.38
  6. Step 6: Final answer
    x = 472,014.64

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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.