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Finding the Fourth Proportional to 259,710.40, 389,258.40 and 109,950.40

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Solution

The fourth proportional to 259,710.40, 389,258.40 and 109,950.40 is: 164,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,710.40 : 389,258.40 = 109,950.40 : x
  2. Step 2: Convert to fraction form
    259,710.40/389,258.40 = 109,950.40/x
  3. Step 3: Cross multiply
    259,710.40x = 389,258.40 × 109,950.40
  4. Step 4: Simplify right side
    259,710.40x = 42,799,116,783.36
  5. Step 5: Solve for x
    x = 42,799,116,783.36/259,710.40
  6. Step 6: Final answer
    x = 164,795.54

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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.