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Finding the Fourth Proportional to 305,053, 420,973.14 and 185,821

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Solution

The fourth proportional to 305,053, 420,973.14 and 185,821 is: 256,432.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,053 : 420,973.14 = 185,821 : x
  2. Step 2: Convert to fraction form
    305,053/420,973.14 = 185,821/x
  3. Step 3: Cross multiply
    305,053x = 420,973.14 × 185,821
  4. Step 4: Simplify right side
    305,053x = 78,225,649,847.94
  5. Step 5: Solve for x
    x = 78,225,649,847.94/305,053
  6. Step 6: Final answer
    x = 256,432.98

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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.