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Finding the Fourth Proportional to 497,664.96, 686,790.72 and 306,804.48

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Solution

The fourth proportional to 497,664.96, 686,790.72 and 306,804.48 is: 423,398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,664.96 : 686,790.72 = 306,804.48 : x
  2. Step 2: Convert to fraction form
    497,664.96/686,790.72 = 306,804.48/x
  3. Step 3: Cross multiply
    497,664.96x = 686,790.72 × 306,804.48
  4. Step 4: Simplify right side
    497,664.96x = 210,710,469,718.43
  5. Step 5: Solve for x
    x = 210,710,469,718.43/497,664.96
  6. Step 6: Final answer
    x = 423,398.24

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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.