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Finding the Fourth Proportional to 289,594.32, 399,656.16 and 162,310.80

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Solution

The fourth proportional to 289,594.32, 399,656.16 and 162,310.80 is: 223,997.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,594.32 : 399,656.16 = 162,310.80 : x
  2. Step 2: Convert to fraction form
    289,594.32/399,656.16 = 162,310.80/x
  3. Step 3: Cross multiply
    289,594.32x = 399,656.16 × 162,310.80
  4. Step 4: Simplify right side
    289,594.32x = 64,868,511,054.53
  5. Step 5: Solve for x
    x = 64,868,511,054.53/289,594.32
  6. Step 6: Final answer
    x = 223,997.87

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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.