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Finding the Fourth Proportional to 507,367.88, 700,172.82 and 306,125

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Solution

The fourth proportional to 507,367.88, 700,172.82 and 306,125 is: 422,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,367.88 : 700,172.82 = 306,125 : x
  2. Step 2: Convert to fraction form
    507,367.88/700,172.82 = 306,125/x
  3. Step 3: Cross multiply
    507,367.88x = 700,172.82 × 306,125
  4. Step 4: Simplify right side
    507,367.88x = 214,340,404,522.50
  5. Step 5: Solve for x
    x = 214,340,404,522.50/507,367.88
  6. Step 6: Final answer
    x = 422,455.60

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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.