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Finding the Fourth Proportional to 289,709.20, 434,563.80 and 280,032.40

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Solution

The fourth proportional to 289,709.20, 434,563.80 and 280,032.40 is: 420,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,709.20 : 434,563.80 = 280,032.40 : x
  2. Step 2: Convert to fraction form
    289,709.20/434,563.80 = 280,032.40/x
  3. Step 3: Cross multiply
    289,709.20x = 434,563.80 × 280,032.40
  4. Step 4: Simplify right side
    289,709.20x = 121,691,943,867.12
  5. Step 5: Solve for x
    x = 121,691,943,867.12/289,709.20
  6. Step 6: Final answer
    x = 420,048.60

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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.