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Finding the Fourth Proportional to 509,263.76, 763,978.26 and 172,325.18

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Solution

The fourth proportional to 509,263.76, 763,978.26 and 172,325.18 is: 258,515.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,263.76 : 763,978.26 = 172,325.18 : x
  2. Step 2: Convert to fraction form
    509,263.76/763,978.26 = 172,325.18/x
  3. Step 3: Cross multiply
    509,263.76x = 763,978.26 × 172,325.18
  4. Step 4: Simplify right side
    509,263.76x = 131,652,691,170.59
  5. Step 5: Solve for x
    x = 131,652,691,170.59/509,263.76
  6. Step 6: Final answer
    x = 258,515.73

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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.