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Finding the Fourth Proportional to 305,206.56, 457,656.66 and 145,234.80

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Solution

The fourth proportional to 305,206.56, 457,656.66 and 145,234.80 is: 217,779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,206.56 : 457,656.66 = 145,234.80 : x
  2. Step 2: Convert to fraction form
    305,206.56/457,656.66 = 145,234.80/x
  3. Step 3: Cross multiply
    305,206.56x = 457,656.66 × 145,234.80
  4. Step 4: Simplify right side
    305,206.56x = 66,467,673,483.77
  5. Step 5: Solve for x
    x = 66,467,673,483.77/305,206.56
  6. Step 6: Final answer
    x = 217,779.31

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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.