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Finding the Fourth Proportional to 305,074.50, 421,002.93 and 185,842.50

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Solution

The fourth proportional to 305,074.50, 421,002.93 and 185,842.50 is: 256,462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,074.50 : 421,002.93 = 185,842.50 : x
  2. Step 2: Convert to fraction form
    305,074.50/421,002.93 = 185,842.50/x
  3. Step 3: Cross multiply
    305,074.50x = 421,002.93 × 185,842.50
  4. Step 4: Simplify right side
    305,074.50x = 78,240,237,018.53
  5. Step 5: Solve for x
    x = 78,240,237,018.53/305,074.50
  6. Step 6: Final answer
    x = 256,462.72

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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.