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Finding the Fourth Proportional to 314,794.60, 434,403.88 and 171,551.55

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Solution

The fourth proportional to 314,794.60, 434,403.88 and 171,551.55 is: 236,734.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,794.60 : 434,403.88 = 171,551.55 : x
  2. Step 2: Convert to fraction form
    314,794.60/434,403.88 = 171,551.55/x
  3. Step 3: Cross multiply
    314,794.60x = 434,403.88 × 171,551.55
  4. Step 4: Simplify right side
    314,794.60x = 74,522,658,940.01
  5. Step 5: Solve for x
    x = 74,522,658,940.01/314,794.60
  6. Step 6: Final answer
    x = 236,734.24

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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.