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Finding the Fourth Proportional to 289,469.34, 399,467.43 and 160,416.06

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Solution

The fourth proportional to 289,469.34, 399,467.43 and 160,416.06 is: 221,374.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,469.34 : 399,467.43 = 160,416.06 : x
  2. Step 2: Convert to fraction form
    289,469.34/399,467.43 = 160,416.06/x
  3. Step 3: Cross multiply
    289,469.34x = 399,467.43 × 160,416.06
  4. Step 4: Simplify right side
    289,469.34x = 64,080,991,218.93
  5. Step 5: Solve for x
    x = 64,080,991,218.93/289,469.34
  6. Step 6: Final answer
    x = 221,374.02

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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.