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Finding the Fourth Proportional to 305,281.81, 421,234.59 and 184,342.06

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Solution

The fourth proportional to 305,281.81, 421,234.59 and 184,342.06 is: 254,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,281.81 : 421,234.59 = 184,342.06 : x
  2. Step 2: Convert to fraction form
    305,281.81/421,234.59 = 184,342.06/x
  3. Step 3: Cross multiply
    305,281.81x = 421,234.59 × 184,342.06
  4. Step 4: Simplify right side
    305,281.81x = 77,651,252,063.86
  5. Step 5: Solve for x
    x = 77,651,252,063.86/305,281.81
  6. Step 6: Final answer
    x = 254,359.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.