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Finding the Fourth Proportional to 415,879.65, 623,385.31 and 301,751.73

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Solution

The fourth proportional to 415,879.65, 623,385.31 and 301,751.73 is: 452,312.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,879.65 : 623,385.31 = 301,751.73 : x
  2. Step 2: Convert to fraction form
    415,879.65/623,385.31 = 301,751.73/x
  3. Step 3: Cross multiply
    415,879.65x = 623,385.31 × 301,751.73
  4. Step 4: Simplify right side
    415,879.65x = 188,107,595,749.09
  5. Step 5: Solve for x
    x = 188,107,595,749.09/415,879.65
  6. Step 6: Final answer
    x = 452,312.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.