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Finding the Fourth Proportional to 328,948, 454,033.32 and 214,511.92

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Solution

The fourth proportional to 328,948, 454,033.32 and 214,511.92 is: 296,081.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,948 : 454,033.32 = 214,511.92 : x
  2. Step 2: Convert to fraction form
    328,948/454,033.32 = 214,511.92/x
  3. Step 3: Cross multiply
    328,948x = 454,033.32 × 214,511.92
  4. Step 4: Simplify right side
    328,948x = 97,395,559,217.17
  5. Step 5: Solve for x
    x = 97,395,559,217.17/328,948
  6. Step 6: Final answer
    x = 296,081.93

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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.