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Finding the Fourth Proportional to 354,342.36, 488,978.35 and 209,194.90

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Solution

The fourth proportional to 354,342.36, 488,978.35 and 209,194.90 is: 288,680.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,342.36 : 488,978.35 = 209,194.90 : x
  2. Step 2: Convert to fraction form
    354,342.36/488,978.35 = 209,194.90/x
  3. Step 3: Cross multiply
    354,342.36x = 488,978.35 × 209,194.90
  4. Step 4: Simplify right side
    354,342.36x = 102,291,777,030.42
  5. Step 5: Solve for x
    x = 102,291,777,030.42/354,342.36
  6. Step 6: Final answer
    x = 288,680.63

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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.