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Finding the Fourth Proportional to 288,130, 397,665.48 and 168,898

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Solution

The fourth proportional to 288,130, 397,665.48 and 168,898 is: 233,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,130 : 397,665.48 = 168,898 : x
  2. Step 2: Convert to fraction form
    288,130/397,665.48 = 168,898/x
  3. Step 3: Cross multiply
    288,130x = 397,665.48 × 168,898
  4. Step 4: Simplify right side
    288,130x = 67,164,904,241.04
  5. Step 5: Solve for x
    x = 67,164,904,241.04/288,130
  6. Step 6: Final answer
    x = 233,106.25

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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.