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Finding the Fourth Proportional to 259,717.70, 389,904.60 and 139,870.10

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Solution

The fourth proportional to 259,717.70, 389,904.60 and 139,870.10 is: 209,981.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,717.70 : 389,904.60 = 139,870.10 : x
  2. Step 2: Convert to fraction form
    259,717.70/389,904.60 = 139,870.10/x
  3. Step 3: Cross multiply
    259,717.70x = 389,904.60 × 139,870.10
  4. Step 4: Simplify right side
    259,717.70x = 54,535,995,392.46
  5. Step 5: Solve for x
    x = 54,535,995,392.46/259,717.70
  6. Step 6: Final answer
    x = 209,981.82

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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.