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Finding the Fourth Proportional to 280,406.76, 386,915.64 and 165,669.56

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Solution

The fourth proportional to 280,406.76, 386,915.64 and 165,669.56 is: 228,597.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,406.76 : 386,915.64 = 165,669.56 : x
  2. Step 2: Convert to fraction form
    280,406.76/386,915.64 = 165,669.56/x
  3. Step 3: Cross multiply
    280,406.76x = 386,915.64 × 165,669.56
  4. Step 4: Simplify right side
    280,406.76x = 64,100,143,835.92
  5. Step 5: Solve for x
    x = 64,100,143,835.92/280,406.76
  6. Step 6: Final answer
    x = 228,597.00

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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.