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Finding the Fourth Proportional to 368,930.99, 509,359.80 and 301,109.76

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Solution

The fourth proportional to 368,930.99, 509,359.80 and 301,109.76 is: 415,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,930.99 : 509,359.80 = 301,109.76 : x
  2. Step 2: Convert to fraction form
    368,930.99/509,359.80 = 301,109.76/x
  3. Step 3: Cross multiply
    368,930.99x = 509,359.80 × 301,109.76
  4. Step 4: Simplify right side
    368,930.99x = 153,373,207,131.65
  5. Step 5: Solve for x
    x = 153,373,207,131.65/368,930.99
  6. Step 6: Final answer
    x = 415,723.30

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1.5x scale

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.