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Finding the Fourth Proportional to 421,415.28, 632,123.46 and 172,097.28

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Solution

The fourth proportional to 421,415.28, 632,123.46 and 172,097.28 is: 258,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,415.28 : 632,123.46 = 172,097.28 : x
  2. Step 2: Convert to fraction form
    421,415.28/632,123.46 = 172,097.28/x
  3. Step 3: Cross multiply
    421,415.28x = 632,123.46 × 172,097.28
  4. Step 4: Simplify right side
    421,415.28x = 108,786,728,090.19
  5. Step 5: Solve for x
    x = 108,786,728,090.19/421,415.28
  6. Step 6: Final answer
    x = 258,146.14

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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.