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Finding the Fourth Proportional to 257,007.84, 385,469.60 and 70,033.92

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Solution

The fourth proportional to 257,007.84, 385,469.60 and 70,033.92 is: 105,039.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,007.84 : 385,469.60 = 70,033.92 : x
  2. Step 2: Convert to fraction form
    257,007.84/385,469.60 = 70,033.92/x
  3. Step 3: Cross multiply
    257,007.84x = 385,469.60 × 70,033.92
  4. Step 4: Simplify right side
    257,007.84x = 26,995,947,128.83
  5. Step 5: Solve for x
    x = 26,995,947,128.83/257,007.84
  6. Step 6: Final answer
    x = 105,039.39

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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.