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Finding the Fourth Proportional to 446,212.56, 615,544.92 and 284,898

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Solution

The fourth proportional to 446,212.56, 615,544.92 and 284,898 is: 393,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,212.56 : 615,544.92 = 284,898 : x
  2. Step 2: Convert to fraction form
    446,212.56/615,544.92 = 284,898/x
  3. Step 3: Cross multiply
    446,212.56x = 615,544.92 × 284,898
  4. Step 4: Simplify right side
    446,212.56x = 175,367,516,618.16
  5. Step 5: Solve for x
    x = 175,367,516,618.16/446,212.56
  6. Step 6: Final answer
    x = 393,013.40

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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.