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Finding the Fourth Proportional to 290,594.60, 401,020.90 and 163,270.12

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Solution

The fourth proportional to 290,594.60, 401,020.90 and 163,270.12 is: 225,312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,594.60 : 401,020.90 = 163,270.12 : x
  2. Step 2: Convert to fraction form
    290,594.60/401,020.90 = 163,270.12/x
  3. Step 3: Cross multiply
    290,594.60x = 401,020.90 × 163,270.12
  4. Step 4: Simplify right side
    290,594.60x = 65,474,730,465.51
  5. Step 5: Solve for x
    x = 65,474,730,465.51/290,594.60
  6. Step 6: Final answer
    x = 225,312.96

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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.