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Finding the Fourth Proportional to 352,381, 486,124.32 and 209,059.60

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Solution

The fourth proportional to 352,381, 486,124.32 and 209,059.60 is: 288,406.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,381 : 486,124.32 = 209,059.60 : x
  2. Step 2: Convert to fraction form
    352,381/486,124.32 = 209,059.60/x
  3. Step 3: Cross multiply
    352,381x = 486,124.32 × 209,059.60
  4. Step 4: Simplify right side
    352,381x = 101,628,955,889.47
  5. Step 5: Solve for x
    x = 101,628,955,889.47/352,381
  6. Step 6: Final answer
    x = 288,406.46

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1.5x scale

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.