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Finding the Fourth Proportional to 291,686.72, 402,513.21 and 164,370.51

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Solution

The fourth proportional to 291,686.72, 402,513.21 and 164,370.51 is: 226,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,686.72 : 402,513.21 = 164,370.51 : x
  2. Step 2: Convert to fraction form
    291,686.72/402,513.21 = 164,370.51/x
  3. Step 3: Cross multiply
    291,686.72x = 402,513.21 × 164,370.51
  4. Step 4: Simplify right side
    291,686.72x = 66,161,301,609.44
  5. Step 5: Solve for x
    x = 66,161,301,609.44/291,686.72
  6. Step 6: Final answer
    x = 226,823.16

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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.