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Finding the Fourth Proportional to 507,354.88, 700,154.88 and 306,112

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Solution

The fourth proportional to 507,354.88, 700,154.88 and 306,112 is: 422,437.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,354.88 : 700,154.88 = 306,112 : x
  2. Step 2: Convert to fraction form
    507,354.88/700,154.88 = 306,112/x
  3. Step 3: Cross multiply
    507,354.88x = 700,154.88 × 306,112
  4. Step 4: Simplify right side
    507,354.88x = 214,325,810,626.56
  5. Step 5: Solve for x
    x = 214,325,810,626.56/507,354.88
  6. Step 6: Final answer
    x = 422,437.66

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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.