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Finding the Fourth Proportional to 279,409.37, 419,176.54 and 101,916.38

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Solution

The fourth proportional to 279,409.37, 419,176.54 and 101,916.38 is: 152,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,409.37 : 419,176.54 = 101,916.38 : x
  2. Step 2: Convert to fraction form
    279,409.37/419,176.54 = 101,916.38/x
  3. Step 3: Cross multiply
    279,409.37x = 419,176.54 × 101,916.38
  4. Step 4: Simplify right side
    279,409.37x = 42,720,955,385.60
  5. Step 5: Solve for x
    x = 42,720,955,385.60/279,409.37
  6. Step 6: Final answer
    x = 152,897.36

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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.