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Finding the Fourth Proportional to 289,271.12, 399,209.16 and 161,939.12

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Solution

The fourth proportional to 289,271.12, 399,209.16 and 161,939.12 is: 223,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,271.12 : 399,209.16 = 161,939.12 : x
  2. Step 2: Convert to fraction form
    289,271.12/399,209.16 = 161,939.12/x
  3. Step 3: Cross multiply
    289,271.12x = 399,209.16 × 161,939.12
  4. Step 4: Simplify right side
    289,271.12x = 64,647,580,066.34
  5. Step 5: Solve for x
    x = 64,647,580,066.34/289,271.12
  6. Step 6: Final answer
    x = 223,484.39

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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.