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Finding the Fourth Proportional to 305,107.93, 421,216.53 and 208,457.11

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Solution

The fourth proportional to 305,107.93, 421,216.53 and 208,457.11 is: 287,785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,107.93 : 421,216.53 = 208,457.11 : x
  2. Step 2: Convert to fraction form
    305,107.93/421,216.53 = 208,457.11/x
  3. Step 3: Cross multiply
    305,107.93x = 421,216.53 × 208,457.11
  4. Step 4: Simplify right side
    305,107.93x = 87,805,581,445.41
  5. Step 5: Solve for x
    x = 87,805,581,445.41/305,107.93
  6. Step 6: Final answer
    x = 287,785.31

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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.