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Finding the Fourth Proportional to 500,048.70, 689,895.60 and 285,033.66

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Solution

The fourth proportional to 500,048.70, 689,895.60 and 285,033.66 is: 393,248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,048.70 : 689,895.60 = 285,033.66 : x
  2. Step 2: Convert to fraction form
    500,048.70/689,895.60 = 285,033.66/x
  3. Step 3: Cross multiply
    500,048.70x = 689,895.60 × 285,033.66
  4. Step 4: Simplify right side
    500,048.70x = 196,643,467,885.90
  5. Step 5: Solve for x
    x = 196,643,467,885.90/500,048.70
  6. Step 6: Final answer
    x = 393,248.63

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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.