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Finding the Fourth Proportional to 409,047.14, 613,598.52 and 139,065.32

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Solution

The fourth proportional to 409,047.14, 613,598.52 and 139,065.32 is: 208,607.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,047.14 : 613,598.52 = 139,065.32 : x
  2. Step 2: Convert to fraction form
    409,047.14/613,598.52 = 139,065.32/x
  3. Step 3: Cross multiply
    409,047.14x = 613,598.52 × 139,065.32
  4. Step 4: Simplify right side
    409,047.14x = 85,330,274,535.33
  5. Step 5: Solve for x
    x = 85,330,274,535.33/409,047.14
  6. Step 6: Final answer
    x = 208,607.43

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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.