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Finding the Fourth Proportional to 491,437.68, 678,014.28 and 297,907.44

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Solution

The fourth proportional to 491,437.68, 678,014.28 and 297,907.44 is: 411,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,437.68 : 678,014.28 = 297,907.44 : x
  2. Step 2: Convert to fraction form
    491,437.68/678,014.28 = 297,907.44/x
  3. Step 3: Cross multiply
    491,437.68x = 678,014.28 × 297,907.44
  4. Step 4: Simplify right side
    491,437.68x = 201,985,498,438.24
  5. Step 5: Solve for x
    x = 201,985,498,438.24/491,437.68
  6. Step 6: Final answer
    x = 411,009.38

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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.