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Finding the Fourth Proportional to 317,670.98, 438,510.85 and 190,321.97

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Solution

The fourth proportional to 317,670.98, 438,510.85 and 190,321.97 is: 262,719.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,670.98 : 438,510.85 = 190,321.97 : x
  2. Step 2: Convert to fraction form
    317,670.98/438,510.85 = 190,321.97/x
  3. Step 3: Cross multiply
    317,670.98x = 438,510.85 × 190,321.97
  4. Step 4: Simplify right side
    317,670.98x = 83,458,246,170.02
  5. Step 5: Solve for x
    x = 83,458,246,170.02/317,670.98
  6. Step 6: Final answer
    x = 262,719.14

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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.