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Finding the Fourth Proportional to 462,428.73, 638,102.79 and 258,458.18

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Solution

The fourth proportional to 462,428.73, 638,102.79 and 258,458.18 is: 356,644.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,428.73 : 638,102.79 = 258,458.18 : x
  2. Step 2: Convert to fraction form
    462,428.73/638,102.79 = 258,458.18/x
  3. Step 3: Cross multiply
    462,428.73x = 638,102.79 × 258,458.18
  4. Step 4: Simplify right side
    462,428.73x = 164,922,882,565.81
  5. Step 5: Solve for x
    x = 164,922,882,565.81/462,428.73
  6. Step 6: Final answer
    x = 356,644.97

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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.