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Finding the Fourth Proportional to 421,466.63, 632,200.55 and 172,148.63

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Solution

The fourth proportional to 421,466.63, 632,200.55 and 172,148.63 is: 258,223.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,466.63 : 632,200.55 = 172,148.63 : x
  2. Step 2: Convert to fraction form
    421,466.63/632,200.55 = 172,148.63/x
  3. Step 3: Cross multiply
    421,466.63x = 632,200.55 × 172,148.63
  4. Step 4: Simplify right side
    421,466.63x = 108,832,454,546.00
  5. Step 5: Solve for x
    x = 108,832,454,546.00/421,466.63
  6. Step 6: Final answer
    x = 258,223.19

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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.