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Finding the Fourth Proportional to 646,464.40, 969,245.76 and 286,439.44

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Solution

The fourth proportional to 646,464.40, 969,245.76 and 286,439.44 is: 429,459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,464.40 : 969,245.76 = 286,439.44 : x
  2. Step 2: Convert to fraction form
    646,464.40/969,245.76 = 286,439.44/x
  3. Step 3: Cross multiply
    646,464.40x = 969,245.76 × 286,439.44
  4. Step 4: Simplify right side
    646,464.40x = 277,630,212,716.77
  5. Step 5: Solve for x
    x = 277,630,212,716.77/646,464.40
  6. Step 6: Final answer
    x = 429,459.40

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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.