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Finding the Fourth Proportional to 305,611.65, 458,313.65 and 105,885.42

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Solution

The fourth proportional to 305,611.65, 458,313.65 and 105,885.42 is: 158,792.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,611.65 : 458,313.65 = 105,885.42 : x
  2. Step 2: Convert to fraction form
    305,611.65/458,313.65 = 105,885.42/x
  3. Step 3: Cross multiply
    305,611.65x = 458,313.65 × 105,885.42
  4. Step 4: Simplify right side
    305,611.65x = 48,528,733,321.98
  5. Step 5: Solve for x
    x = 48,528,733,321.98/305,611.65
  6. Step 6: Final answer
    x = 158,792.16

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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.