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Finding the Fourth Proportional to 507,995.82, 760,498.90 and 339,097.21

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Solution

The fourth proportional to 507,995.82, 760,498.90 and 339,097.21 is: 507,647.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,995.82 : 760,498.90 = 339,097.21 : x
  2. Step 2: Convert to fraction form
    507,995.82/760,498.90 = 339,097.21/x
  3. Step 3: Cross multiply
    507,995.82x = 760,498.90 × 339,097.21
  4. Step 4: Simplify right side
    507,995.82x = 257,883,052,449.08
  5. Step 5: Solve for x
    x = 257,883,052,449.08/507,995.82
  6. Step 6: Final answer
    x = 507,647.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.