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Finding the Fourth Proportional to 289,662.40, 434,493.60 and 254,641.60

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Solution

The fourth proportional to 289,662.40, 434,493.60 and 254,641.60 is: 381,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,662.40 : 434,493.60 = 254,641.60 : x
  2. Step 2: Convert to fraction form
    289,662.40/434,493.60 = 254,641.60/x
  3. Step 3: Cross multiply
    289,662.40x = 434,493.60 × 254,641.60
  4. Step 4: Simplify right side
    289,662.40x = 110,640,145,493.76
  5. Step 5: Solve for x
    x = 110,640,145,493.76/289,662.40
  6. Step 6: Final answer
    x = 381,962.40

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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.