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Finding the Fourth Proportional to 462,326.09, 638,007.92 and 258,376.87

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Solution

The fourth proportional to 462,326.09, 638,007.92 and 258,376.87 is: 356,558.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,326.09 : 638,007.92 = 258,376.87 : x
  2. Step 2: Convert to fraction form
    462,326.09/638,007.92 = 258,376.87/x
  3. Step 3: Cross multiply
    462,326.09x = 638,007.92 × 258,376.87
  4. Step 4: Simplify right side
    462,326.09x = 164,846,486,214.77
  5. Step 5: Solve for x
    x = 164,846,486,214.77/462,326.09
  6. Step 6: Final answer
    x = 356,558.91

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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.