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Finding the Fourth Proportional to 310,964.16, 429,309 and 209,137.44

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Solution

The fourth proportional to 310,964.16, 429,309 and 209,137.44 is: 288,729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,964.16 : 429,309 = 209,137.44 : x
  2. Step 2: Convert to fraction form
    310,964.16/429,309 = 209,137.44/x
  3. Step 3: Cross multiply
    310,964.16x = 429,309 × 209,137.44
  4. Step 4: Simplify right side
    310,964.16x = 89,784,585,228.96
  5. Step 5: Solve for x
    x = 89,784,585,228.96/310,964.16
  6. Step 6: Final answer
    x = 288,729.69

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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.