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Finding the Fourth Proportional to 491,907.24, 678,833.33 and 285,215.76

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Solution

The fourth proportional to 491,907.24, 678,833.33 and 285,215.76 is: 393,598.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,907.24 : 678,833.33 = 285,215.76 : x
  2. Step 2: Convert to fraction form
    491,907.24/678,833.33 = 285,215.76/x
  3. Step 3: Cross multiply
    491,907.24x = 678,833.33 × 285,215.76
  4. Step 4: Simplify right side
    491,907.24x = 193,613,962,703.20
  5. Step 5: Solve for x
    x = 193,613,962,703.20/491,907.24
  6. Step 6: Final answer
    x = 393,598.52

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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.