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Finding the Fourth Proportional to 253,989, 350,507.25 and 140,814.18

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Solution

The fourth proportional to 253,989, 350,507.25 and 140,814.18 is: 194,324.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,989 : 350,507.25 = 140,814.18 : x
  2. Step 2: Convert to fraction form
    253,989/350,507.25 = 140,814.18/x
  3. Step 3: Cross multiply
    253,989x = 350,507.25 × 140,814.18
  4. Step 4: Simplify right side
    253,989x = 49,356,390,992.81
  5. Step 5: Solve for x
    x = 49,356,390,992.81/253,989
  6. Step 6: Final answer
    x = 194,324.92

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1.5x scale

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.