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Finding the Fourth Proportional to 208,628.40, 311,188.71 and 189,472.08

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Solution

The fourth proportional to 208,628.40, 311,188.71 and 189,472.08 is: 282,615.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,628.40 : 311,188.71 = 189,472.08 : x
  2. Step 2: Convert to fraction form
    208,628.40/311,188.71 = 189,472.08/x
  3. Step 3: Cross multiply
    208,628.40x = 311,188.71 × 189,472.08
  4. Step 4: Simplify right side
    208,628.40x = 58,961,572,156.22
  5. Step 5: Solve for x
    x = 58,961,572,156.22/208,628.40
  6. Step 6: Final answer
    x = 282,615.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.