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Finding the Fourth Proportional to 646,408.15, 969,612.63 and 309,369.58

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Solution

The fourth proportional to 646,408.15, 969,612.63 and 309,369.58 is: 464,054.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,408.15 : 969,612.63 = 309,369.58 : x
  2. Step 2: Convert to fraction form
    646,408.15/969,612.63 = 309,369.58/x
  3. Step 3: Cross multiply
    646,408.15x = 969,612.63 × 309,369.58
  4. Step 4: Simplify right side
    646,408.15x = 299,968,652,105.80
  5. Step 5: Solve for x
    x = 299,968,652,105.80/646,408.15
  6. Step 6: Final answer
    x = 464,054.56

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1.5x scale

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.