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Finding the Fourth Proportional to 313,633.15, 470,378.80 and 145,060.98

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Solution

The fourth proportional to 313,633.15, 470,378.80 and 145,060.98 is: 217,558.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,633.15 : 470,378.80 = 145,060.98 : x
  2. Step 2: Convert to fraction form
    313,633.15/470,378.80 = 145,060.98/x
  3. Step 3: Cross multiply
    313,633.15x = 470,378.80 × 145,060.98
  4. Step 4: Simplify right side
    313,633.15x = 68,233,608,973.92
  5. Step 5: Solve for x
    x = 68,233,608,973.92/313,633.15
  6. Step 6: Final answer
    x = 217,558.66

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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.