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Finding the Fourth Proportional to 289,859.81, 400,006.59 and 162,535.46

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Solution

The fourth proportional to 289,859.81, 400,006.59 and 162,535.46 is: 224,298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,859.81 : 400,006.59 = 162,535.46 : x
  2. Step 2: Convert to fraction form
    289,859.81/400,006.59 = 162,535.46/x
  3. Step 3: Cross multiply
    289,859.81x = 400,006.59 × 162,535.46
  4. Step 4: Simplify right side
    289,859.81x = 65,015,255,108.68
  5. Step 5: Solve for x
    x = 65,015,255,108.68/289,859.81
  6. Step 6: Final answer
    x = 224,298.96

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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.