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Finding the Fourth Proportional to 290,051, 400,271.46 and 169,275.68

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Solution

The fourth proportional to 290,051, 400,271.46 and 169,275.68 is: 233,601.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,051 : 400,271.46 = 169,275.68 : x
  2. Step 2: Convert to fraction form
    290,051/400,271.46 = 169,275.68/x
  3. Step 3: Cross multiply
    290,051x = 400,271.46 × 169,275.68
  4. Step 4: Simplify right side
    290,051x = 67,756,223,576.09
  5. Step 5: Solve for x
    x = 67,756,223,576.09/290,051
  6. Step 6: Final answer
    x = 233,601.07

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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.