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Finding the Fourth Proportional to 421,633.36, 632,009.40 and 184,776.40

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Solution

The fourth proportional to 421,633.36, 632,009.40 and 184,776.40 is: 276,971.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,633.36 : 632,009.40 = 184,776.40 : x
  2. Step 2: Convert to fraction form
    421,633.36/632,009.40 = 184,776.40/x
  3. Step 3: Cross multiply
    421,633.36x = 632,009.40 × 184,776.40
  4. Step 4: Simplify right side
    421,633.36x = 116,780,421,698.16
  5. Step 5: Solve for x
    x = 116,780,421,698.16/421,633.36
  6. Step 6: Final answer
    x = 276,971.49

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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.