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Finding the Fourth Proportional to 384,854.72, 531,076.63 and 212,762.37

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Solution

The fourth proportional to 384,854.72, 531,076.63 and 212,762.37 is: 293,599.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,854.72 : 531,076.63 = 212,762.37 : x
  2. Step 2: Convert to fraction form
    384,854.72/531,076.63 = 212,762.37/x
  3. Step 3: Cross multiply
    384,854.72x = 531,076.63 × 212,762.37
  4. Step 4: Simplify right side
    384,854.72x = 112,993,124,973.86
  5. Step 5: Solve for x
    x = 112,993,124,973.86/384,854.72
  6. Step 6: Final answer
    x = 293,599.43

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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.