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Finding the Fourth Proportional to 310,964.32, 429,195 and 203,334.40

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Solution

The fourth proportional to 310,964.32, 429,195 and 203,334.40 is: 280,643.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,964.32 : 429,195 = 203,334.40 : x
  2. Step 2: Convert to fraction form
    310,964.32/429,195 = 203,334.40/x
  3. Step 3: Cross multiply
    310,964.32x = 429,195 × 203,334.40
  4. Step 4: Simplify right side
    310,964.32x = 87,270,107,808
  5. Step 5: Solve for x
    x = 87,270,107,808/310,964.32
  6. Step 6: Final answer
    x = 280,643.48

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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.