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Finding the Fourth Proportional to 389,371.86, 537,448.06 and 228,261.78

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Solution

The fourth proportional to 389,371.86, 537,448.06 and 228,261.78 is: 315,068.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,371.86 : 537,448.06 = 228,261.78 : x
  2. Step 2: Convert to fraction form
    389,371.86/537,448.06 = 228,261.78/x
  3. Step 3: Cross multiply
    389,371.86x = 537,448.06 × 228,261.78
  4. Step 4: Simplify right side
    389,371.86x = 122,678,850,833.15
  5. Step 5: Solve for x
    x = 122,678,850,833.15/389,371.86
  6. Step 6: Final answer
    x = 315,068.61

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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.