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Finding the Fourth Proportional to 421,603.24, 632,405.94 and 172,285.24

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Solution

The fourth proportional to 421,603.24, 632,405.94 and 172,285.24 is: 258,428.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,603.24 : 632,405.94 = 172,285.24 : x
  2. Step 2: Convert to fraction form
    421,603.24/632,405.94 = 172,285.24/x
  3. Step 3: Cross multiply
    421,603.24x = 632,405.94 × 172,285.24
  4. Step 4: Simplify right side
    421,603.24x = 108,954,209,150.33
  5. Step 5: Solve for x
    x = 108,954,209,150.33/421,603.24
  6. Step 6: Final answer
    x = 258,428.30

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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.