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Finding the Fourth Proportional to 421,686.75, 632,530.73 and 172,368.75

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Solution

The fourth proportional to 421,686.75, 632,530.73 and 172,368.75 is: 258,553.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,686.75 : 632,530.73 = 172,368.75 : x
  2. Step 2: Convert to fraction form
    421,686.75/632,530.73 = 172,368.75/x
  3. Step 3: Cross multiply
    421,686.75x = 632,530.73 × 172,368.75
  4. Step 4: Simplify right side
    421,686.75x = 109,028,531,697.61
  5. Step 5: Solve for x
    x = 109,028,531,697.61/421,686.75
  6. Step 6: Final answer
    x = 258,553.37

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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.