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Finding the Fourth Proportional to 421,543.09, 632,347.62 and 122,028.16

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Solution

The fourth proportional to 421,543.09, 632,347.62 and 122,028.16 is: 183,051.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,543.09 : 632,347.62 = 122,028.16 : x
  2. Step 2: Convert to fraction form
    421,543.09/632,347.62 = 122,028.16/x
  3. Step 3: Cross multiply
    421,543.09x = 632,347.62 × 122,028.16
  4. Step 4: Simplify right side
    421,543.09x = 77,164,216,548.98
  5. Step 5: Solve for x
    x = 77,164,216,548.98/421,543.09
  6. Step 6: Final answer
    x = 183,051.79

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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.