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Finding the Fourth Proportional to 511,071.93, 762,670.49 and 448,873.65

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Solution

The fourth proportional to 511,071.93, 762,670.49 and 448,873.65 is: 669,852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,071.93 : 762,670.49 = 448,873.65 : x
  2. Step 2: Convert to fraction form
    511,071.93/762,670.49 = 448,873.65/x
  3. Step 3: Cross multiply
    511,071.93x = 762,670.49 × 448,873.65
  4. Step 4: Simplify right side
    511,071.93x = 342,342,684,349.22
  5. Step 5: Solve for x
    x = 342,342,684,349.22/511,071.93
  6. Step 6: Final answer
    x = 669,852.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.