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Finding the Fourth Proportional to 646,469.40, 969,253.26 and 286,444.44

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Solution

The fourth proportional to 646,469.40, 969,253.26 and 286,444.44 is: 429,466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,469.40 : 969,253.26 = 286,444.44 : x
  2. Step 2: Convert to fraction form
    646,469.40/969,253.26 = 286,444.44/x
  3. Step 3: Cross multiply
    646,469.40x = 969,253.26 × 286,444.44
  4. Step 4: Simplify right side
    646,469.40x = 277,637,207,278.87
  5. Step 5: Solve for x
    x = 277,637,207,278.87/646,469.40
  6. Step 6: Final answer
    x = 429,466.90

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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.