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Finding the Fourth Proportional to 289,649.28, 399,709.98 and 158,825.10

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Solution

The fourth proportional to 289,649.28, 399,709.98 and 158,825.10 is: 219,175.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,649.28 : 399,709.98 = 158,825.10 : x
  2. Step 2: Convert to fraction form
    289,649.28/399,709.98 = 158,825.10/x
  3. Step 3: Cross multiply
    289,649.28x = 399,709.98 × 158,825.10
  4. Step 4: Simplify right side
    289,649.28x = 63,483,977,544.50
  5. Step 5: Solve for x
    x = 63,483,977,544.50/289,649.28
  6. Step 6: Final answer
    x = 219,175.33

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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.