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Finding the Fourth Proportional to 468,889.41, 647,031.63 and 285,102.45

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Solution

The fourth proportional to 468,889.41, 647,031.63 and 285,102.45 is: 393,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,889.41 : 647,031.63 = 285,102.45 : x
  2. Step 2: Convert to fraction form
    468,889.41/647,031.63 = 285,102.45/x
  3. Step 3: Cross multiply
    468,889.41x = 647,031.63 × 285,102.45
  4. Step 4: Simplify right side
    468,889.41x = 184,470,302,405.93
  5. Step 5: Solve for x
    x = 184,470,302,405.93/468,889.41
  6. Step 6: Final answer
    x = 393,419.64

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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.