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Finding the Fourth Proportional to 421,706.21, 632,488.84 and 184,985.33

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Solution

The fourth proportional to 421,706.21, 632,488.84 and 184,985.33 is: 277,447.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,706.21 : 632,488.84 = 184,985.33 : x
  2. Step 2: Convert to fraction form
    421,706.21/632,488.84 = 184,985.33/x
  3. Step 3: Cross multiply
    421,706.21x = 632,488.84 × 184,985.33
  4. Step 4: Simplify right side
    421,706.21x = 117,001,153,163.81
  5. Step 5: Solve for x
    x = 117,001,153,163.81/421,706.21
  6. Step 6: Final answer
    x = 277,447.08

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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.