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Finding the Fourth Proportional to 210,399.92, 290,159.56 and 164,465.64

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Solution

The fourth proportional to 210,399.92, 290,159.56 and 164,465.64 is: 226,812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,399.92 : 290,159.56 = 164,465.64 : x
  2. Step 2: Convert to fraction form
    210,399.92/290,159.56 = 164,465.64/x
  3. Step 3: Cross multiply
    210,399.92x = 290,159.56 × 164,465.64
  4. Step 4: Simplify right side
    210,399.92x = 47,721,277,737.52
  5. Step 5: Solve for x
    x = 47,721,277,737.52/210,399.92
  6. Step 6: Final answer
    x = 226,812.24

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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.