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Finding the Fourth Proportional to 421,842.84, 632,633.90 and 122,345.44

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Solution

The fourth proportional to 421,842.84, 632,633.90 and 122,345.44 is: 183,480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,842.84 : 632,633.90 = 122,345.44 : x
  2. Step 2: Convert to fraction form
    421,842.84/632,633.90 = 122,345.44/x
  3. Step 3: Cross multiply
    421,842.84x = 632,633.90 × 122,345.44
  4. Step 4: Simplify right side
    421,842.84x = 77,399,870,661.10
  5. Step 5: Solve for x
    x = 77,399,870,661.10/421,842.84
  6. Step 6: Final answer
    x = 183,480.35

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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.