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Finding the Fourth Proportional to 278,798.71, 384,775.02 and 165,621.46

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Solution

The fourth proportional to 278,798.71, 384,775.02 and 165,621.46 is: 228,577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,798.71 : 384,775.02 = 165,621.46 : x
  2. Step 2: Convert to fraction form
    278,798.71/384,775.02 = 165,621.46/x
  3. Step 3: Cross multiply
    278,798.71x = 384,775.02 × 165,621.46
  4. Step 4: Simplify right side
    278,798.71x = 63,726,997,831.95
  5. Step 5: Solve for x
    x = 63,726,997,831.95/278,798.71
  6. Step 6: Final answer
    x = 228,577.09

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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.