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Finding the Fourth Proportional to 947,274, 1,421,612.36 and 448,639.44

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Solution

The fourth proportional to 947,274, 1,421,612.36 and 448,639.44 is: 673,291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,274 : 1,421,612.36 = 448,639.44 : x
  2. Step 2: Convert to fraction form
    947,274/1,421,612.36 = 448,639.44/x
  3. Step 3: Cross multiply
    947,274x = 1,421,612.36 × 448,639.44
  4. Step 4: Simplify right side
    947,274x = 637,791,373,087.48
  5. Step 5: Solve for x
    x = 637,791,373,087.48/947,274
  6. Step 6: Final answer
    x = 673,291.33

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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.