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Finding the Fourth Proportional to 421,603.74, 632,406.69 and 172,285.74

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Solution

The fourth proportional to 421,603.74, 632,406.69 and 172,285.74 is: 258,429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,603.74 : 632,406.69 = 172,285.74 : x
  2. Step 2: Convert to fraction form
    421,603.74/632,406.69 = 172,285.74/x
  3. Step 3: Cross multiply
    421,603.74x = 632,406.69 × 172,285.74
  4. Step 4: Simplify right side
    421,603.74x = 108,954,654,567.60
  5. Step 5: Solve for x
    x = 108,954,654,567.60/421,603.74
  6. Step 6: Final answer
    x = 258,429.05

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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.