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Finding the Fourth Proportional to 286,486.76, 395,328.56 and 165,635.80

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Solution

The fourth proportional to 286,486.76, 395,328.56 and 165,635.80 is: 228,564.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,486.76 : 395,328.56 = 165,635.80 : x
  2. Step 2: Convert to fraction form
    286,486.76/395,328.56 = 165,635.80/x
  3. Step 3: Cross multiply
    286,486.76x = 395,328.56 × 165,635.80
  4. Step 4: Simplify right side
    286,486.76x = 65,480,562,298.45
  5. Step 5: Solve for x
    x = 65,480,562,298.45/286,486.76
  6. Step 6: Final answer
    x = 228,564.01

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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.