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Finding the Fourth Proportional to 305,069.41, 420,951.60 and 169,103.32

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Solution

The fourth proportional to 305,069.41, 420,951.60 and 169,103.32 is: 233,338.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,069.41 : 420,951.60 = 169,103.32 : x
  2. Step 2: Convert to fraction form
    305,069.41/420,951.60 = 169,103.32/x
  3. Step 3: Cross multiply
    305,069.41x = 420,951.60 × 169,103.32
  4. Step 4: Simplify right side
    305,069.41x = 71,184,312,537.45
  5. Step 5: Solve for x
    x = 71,184,312,537.45/305,069.41
  6. Step 6: Final answer
    x = 233,338.08

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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.