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Finding the Fourth Proportional to 421,710.58, 632,495.40 and 184,989.70

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Solution

The fourth proportional to 421,710.58, 632,495.40 and 184,989.70 is: 277,453.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,710.58 : 632,495.40 = 184,989.70 : x
  2. Step 2: Convert to fraction form
    421,710.58/632,495.40 = 184,989.70/x
  3. Step 3: Cross multiply
    421,710.58x = 632,495.40 × 184,989.70
  4. Step 4: Simplify right side
    421,710.58x = 117,005,134,297.38
  5. Step 5: Solve for x
    x = 117,005,134,297.38/421,710.58
  6. Step 6: Final answer
    x = 277,453.64

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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.