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Finding the Fourth Proportional to 290,395.09, 400,745.24 and 163,070.70

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Solution

The fourth proportional to 290,395.09, 400,745.24 and 163,070.70 is: 225,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,395.09 : 400,745.24 = 163,070.70 : x
  2. Step 2: Convert to fraction form
    290,395.09/400,745.24 = 163,070.70/x
  3. Step 3: Cross multiply
    290,395.09x = 400,745.24 × 163,070.70
  4. Step 4: Simplify right side
    290,395.09x = 65,349,806,808.47
  5. Step 5: Solve for x
    x = 65,349,806,808.47/290,395.09
  6. Step 6: Final answer
    x = 225,037.57

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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.