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Finding the Fourth Proportional to 378,005.92, 521,539.92 and 224,916.16

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Solution

The fourth proportional to 378,005.92, 521,539.92 and 224,916.16 is: 310,319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,005.92 : 521,539.92 = 224,916.16 : x
  2. Step 2: Convert to fraction form
    378,005.92/521,539.92 = 224,916.16/x
  3. Step 3: Cross multiply
    378,005.92x = 521,539.92 × 224,916.16
  4. Step 4: Simplify right side
    378,005.92x = 117,302,756,093.11
  5. Step 5: Solve for x
    x = 117,302,756,093.11/378,005.92
  6. Step 6: Final answer
    x = 310,319.89

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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.