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Finding the Fourth Proportional to 288,718.44, 398,415.29 and 159,649.44

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Solution

The fourth proportional to 288,718.44, 398,415.29 and 159,649.44 is: 220,307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,718.44 : 398,415.29 = 159,649.44 : x
  2. Step 2: Convert to fraction form
    288,718.44/398,415.29 = 159,649.44/x
  3. Step 3: Cross multiply
    288,718.44x = 398,415.29 × 159,649.44
  4. Step 4: Simplify right side
    288,718.44x = 63,606,777,137.69
  5. Step 5: Solve for x
    x = 63,606,777,137.69/288,718.44
  6. Step 6: Final answer
    x = 220,307.29

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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.