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Finding the Fourth Proportional to 280,700.84, 387,367.26 and 151,639.36

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Solution

The fourth proportional to 280,700.84, 387,367.26 and 151,639.36 is: 209,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,700.84 : 387,367.26 = 151,639.36 : x
  2. Step 2: Convert to fraction form
    280,700.84/387,367.26 = 151,639.36/x
  3. Step 3: Cross multiply
    280,700.84x = 387,367.26 × 151,639.36
  4. Step 4: Simplify right side
    280,700.84x = 58,740,123,391.35
  5. Step 5: Solve for x
    x = 58,740,123,391.35/280,700.84
  6. Step 6: Final answer
    x = 209,262.37

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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.