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Finding the Fourth Proportional to 210,409.36, 290,360.43 and 114,916.43

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Solution

The fourth proportional to 210,409.36, 290,360.43 and 114,916.43 is: 158,582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,409.36 : 290,360.43 = 114,916.43 : x
  2. Step 2: Convert to fraction form
    210,409.36/290,360.43 = 114,916.43/x
  3. Step 3: Cross multiply
    210,409.36x = 290,360.43 × 114,916.43
  4. Step 4: Simplify right side
    210,409.36x = 33,367,184,754.77
  5. Step 5: Solve for x
    x = 33,367,184,754.77/210,409.36
  6. Step 6: Final answer
    x = 158,582.23

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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.