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Finding the Fourth Proportional to 421,412.36, 632,119.20 and 172,094.36

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Solution

The fourth proportional to 421,412.36, 632,119.20 and 172,094.36 is: 258,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,412.36 : 632,119.20 = 172,094.36 : x
  2. Step 2: Convert to fraction form
    421,412.36/632,119.20 = 172,094.36/x
  3. Step 3: Cross multiply
    421,412.36x = 632,119.20 × 172,094.36
  4. Step 4: Simplify right side
    421,412.36x = 108,784,149,167.71
  5. Step 5: Solve for x
    x = 108,784,149,167.71/421,412.36
  6. Step 6: Final answer
    x = 258,141.81

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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.