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Finding the Fourth Proportional to 509,085.54, 763,314.44 and 172,094.36

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Solution

The fourth proportional to 509,085.54, 763,314.44 and 172,094.36 is: 258,035.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,085.54 : 763,314.44 = 172,094.36 : x
  2. Step 2: Convert to fraction form
    509,085.54/763,314.44 = 172,094.36/x
  3. Step 3: Cross multiply
    509,085.54x = 763,314.44 × 172,094.36
  4. Step 4: Simplify right side
    509,085.54x = 131,362,105,353.51
  5. Step 5: Solve for x
    x = 131,362,105,353.51/509,085.54
  6. Step 6: Final answer
    x = 258,035.43

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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.