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Finding the Fourth Proportional to 289,403.20, 434,104.80 and 162,913.60

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Solution

The fourth proportional to 289,403.20, 434,104.80 and 162,913.60 is: 244,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,403.20 : 434,104.80 = 162,913.60 : x
  2. Step 2: Convert to fraction form
    289,403.20/434,104.80 = 162,913.60/x
  3. Step 3: Cross multiply
    289,403.20x = 434,104.80 × 162,913.60
  4. Step 4: Simplify right side
    289,403.20x = 70,721,575,745.28
  5. Step 5: Solve for x
    x = 70,721,575,745.28/289,403.20
  6. Step 6: Final answer
    x = 244,370.40

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1.5x scale

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.