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Finding the Fourth Proportional to 421,631.36, 632,006.40 and 184,774.40

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Solution

The fourth proportional to 421,631.36, 632,006.40 and 184,774.40 is: 276,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,631.36 : 632,006.40 = 184,774.40 : x
  2. Step 2: Convert to fraction form
    421,631.36/632,006.40 = 184,774.40/x
  3. Step 3: Cross multiply
    421,631.36x = 632,006.40 × 184,774.40
  4. Step 4: Simplify right side
    421,631.36x = 116,778,603,356.16
  5. Step 5: Solve for x
    x = 116,778,603,356.16/421,631.36
  6. Step 6: Final answer
    x = 276,968.50

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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.