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Finding the Fourth Proportional to 286,368.88, 395,165.94 and 165,518

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Solution

The fourth proportional to 286,368.88, 395,165.94 and 165,518 is: 228,401.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,368.88 : 395,165.94 = 165,518 : x
  2. Step 2: Convert to fraction form
    286,368.88/395,165.94 = 165,518/x
  3. Step 3: Cross multiply
    286,368.88x = 395,165.94 × 165,518
  4. Step 4: Simplify right side
    286,368.88x = 65,407,076,056.92
  5. Step 5: Solve for x
    x = 65,407,076,056.92/286,368.88
  6. Step 6: Final answer
    x = 228,401.48

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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.