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Finding the Fourth Proportional to 421,712.58, 632,498.40 and 184,991.70

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Solution

The fourth proportional to 421,712.58, 632,498.40 and 184,991.70 is: 277,456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,712.58 : 632,498.40 = 184,991.70 : x
  2. Step 2: Convert to fraction form
    421,712.58/632,498.40 = 184,991.70/x
  3. Step 3: Cross multiply
    421,712.58x = 632,498.40 × 184,991.70
  4. Step 4: Simplify right side
    421,712.58x = 117,006,954,263.28
  5. Step 5: Solve for x
    x = 117,006,954,263.28/421,712.58
  6. Step 6: Final answer
    x = 277,456.64

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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.