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Finding the Fourth Proportional to 290,053.71, 400,272.44 and 162,729

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Solution

The fourth proportional to 290,053.71, 400,272.44 and 162,729 is: 224,565.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,053.71 : 400,272.44 = 162,729 : x
  2. Step 2: Convert to fraction form
    290,053.71/400,272.44 = 162,729/x
  3. Step 3: Cross multiply
    290,053.71x = 400,272.44 × 162,729
  4. Step 4: Simplify right side
    290,053.71x = 65,135,933,075.12
  5. Step 5: Solve for x
    x = 65,135,933,075.12/290,053.71
  6. Step 6: Final answer
    x = 224,565.07

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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.