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Finding the Fourth Proportional to 421,292.48, 631,379.76 and 184,377.20

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Solution

The fourth proportional to 421,292.48, 631,379.76 and 184,377.20 is: 276,321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,292.48 : 631,379.76 = 184,377.20 : x
  2. Step 2: Convert to fraction form
    421,292.48/631,379.76 = 184,377.20/x
  3. Step 3: Cross multiply
    421,292.48x = 631,379.76 × 184,377.20
  4. Step 4: Simplify right side
    421,292.48x = 116,412,032,285.47
  5. Step 5: Solve for x
    x = 116,412,032,285.47/421,292.48
  6. Step 6: Final answer
    x = 276,321.17

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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.