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Finding the Fourth Proportional to 289,774.96, 399,908.64 and 162,458.80

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Solution

The fourth proportional to 289,774.96, 399,908.64 and 162,458.80 is: 224,203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,774.96 : 399,908.64 = 162,458.80 : x
  2. Step 2: Convert to fraction form
    289,774.96/399,908.64 = 162,458.80/x
  3. Step 3: Cross multiply
    289,774.96x = 399,908.64 × 162,458.80
  4. Step 4: Simplify right side
    289,774.96x = 64,968,677,764.03
  5. Step 5: Solve for x
    x = 64,968,677,764.03/289,774.96
  6. Step 6: Final answer
    x = 224,203.91

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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.