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Finding the Fourth Proportional to 491,672.36, 678,507.65 and 287,762.12

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Solution

The fourth proportional to 491,672.36, 678,507.65 and 287,762.12 is: 397,111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,672.36 : 678,507.65 = 287,762.12 : x
  2. Step 2: Convert to fraction form
    491,672.36/678,507.65 = 287,762.12/x
  3. Step 3: Cross multiply
    491,672.36x = 678,507.65 × 287,762.12
  4. Step 4: Simplify right side
    491,672.36x = 195,248,796,407.68
  5. Step 5: Solve for x
    x = 195,248,796,407.68/491,672.36
  6. Step 6: Final answer
    x = 397,111.60

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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.