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Finding the Fourth Proportional to 305,610.65, 458,312.15 and 105,884.42

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Solution

The fourth proportional to 305,610.65, 458,312.15 and 105,884.42 is: 158,790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,610.65 : 458,312.15 = 105,884.42 : x
  2. Step 2: Convert to fraction form
    305,610.65/458,312.15 = 105,884.42/x
  3. Step 3: Cross multiply
    305,610.65x = 458,312.15 × 105,884.42
  4. Step 4: Simplify right side
    305,610.65x = 48,528,113,857.05
  5. Step 5: Solve for x
    x = 48,528,113,857.05/305,610.65
  6. Step 6: Final answer
    x = 158,790.65

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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.