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Finding the Fourth Proportional to 290,970.81, 401,407.85 and 210,270.51

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Solution

The fourth proportional to 290,970.81, 401,407.85 and 210,270.51 is: 290,078.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,970.81 : 401,407.85 = 210,270.51 : x
  2. Step 2: Convert to fraction form
    290,970.81/401,407.85 = 210,270.51/x
  3. Step 3: Cross multiply
    290,970.81x = 401,407.85 × 210,270.51
  4. Step 4: Simplify right side
    290,970.81x = 84,404,232,286.15
  5. Step 5: Solve for x
    x = 84,404,232,286.15/290,970.81
  6. Step 6: Final answer
    x = 290,078.01

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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.