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Finding the Fourth Proportional to 298,023.60, 446,743.80 and 120,293.40

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Solution

The fourth proportional to 298,023.60, 446,743.80 and 120,293.40 is: 180,322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,023.60 : 446,743.80 = 120,293.40 : x
  2. Step 2: Convert to fraction form
    298,023.60/446,743.80 = 120,293.40/x
  3. Step 3: Cross multiply
    298,023.60x = 446,743.80 × 120,293.40
  4. Step 4: Simplify right side
    298,023.60x = 53,740,330,630.92
  5. Step 5: Solve for x
    x = 53,740,330,630.92/298,023.60
  6. Step 6: Final answer
    x = 180,322.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.