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Finding the Fourth Proportional to 290,595.60, 401,022.28 and 163,271.12

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Solution

The fourth proportional to 290,595.60, 401,022.28 and 163,271.12 is: 225,314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,595.60 : 401,022.28 = 163,271.12 : x
  2. Step 2: Convert to fraction form
    290,595.60/401,022.28 = 163,271.12/x
  3. Step 3: Cross multiply
    290,595.60x = 401,022.28 × 163,271.12
  4. Step 4: Simplify right side
    290,595.60x = 65,475,356,800.55
  5. Step 5: Solve for x
    x = 65,475,356,800.55/290,595.60
  6. Step 6: Final answer
    x = 225,314.34

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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.