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Finding the Fourth Proportional to 469,431.96, 647,804.70 and 268,215

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Solution

The fourth proportional to 469,431.96, 647,804.70 and 268,215 is: 370,130.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,431.96 : 647,804.70 = 268,215 : x
  2. Step 2: Convert to fraction form
    469,431.96/647,804.70 = 268,215/x
  3. Step 3: Cross multiply
    469,431.96x = 647,804.70 × 268,215
  4. Step 4: Simplify right side
    469,431.96x = 173,750,937,610.50
  5. Step 5: Solve for x
    x = 173,750,937,610.50/469,431.96
  6. Step 6: Final answer
    x = 370,130.18

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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.