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Finding the Fourth Proportional to 427,713.26, 589,635.86 and 291,572.51

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Solution

The fourth proportional to 427,713.26, 589,635.86 and 291,572.51 is: 401,955.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,713.26 : 589,635.86 = 291,572.51 : x
  2. Step 2: Convert to fraction form
    427,713.26/589,635.86 = 291,572.51/x
  3. Step 3: Cross multiply
    427,713.26x = 589,635.86 × 291,572.51
  4. Step 4: Simplify right side
    427,713.26x = 171,921,606,596.87
  5. Step 5: Solve for x
    x = 171,921,606,596.87/427,713.26
  6. Step 6: Final answer
    x = 401,955.29

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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.