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Finding the Fourth Proportional to 421,415.36, 632,123.70 and 172,097.36

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Solution

The fourth proportional to 421,415.36, 632,123.70 and 172,097.36 is: 258,146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,415.36 : 632,123.70 = 172,097.36 : x
  2. Step 2: Convert to fraction form
    421,415.36/632,123.70 = 172,097.36/x
  3. Step 3: Cross multiply
    421,415.36x = 632,123.70 × 172,097.36
  4. Step 4: Simplify right side
    421,415.36x = 108,786,819,963.43
  5. Step 5: Solve for x
    x = 108,786,819,963.43/421,415.36
  6. Step 6: Final answer
    x = 258,146.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.