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Finding the Fourth Proportional to 361,334.34, 498,628.16 and 208,378.98

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Solution

The fourth proportional to 361,334.34, 498,628.16 and 208,378.98 is: 287,555.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,334.34 : 498,628.16 = 208,378.98 : x
  2. Step 2: Convert to fraction form
    361,334.34/498,628.16 = 208,378.98/x
  3. Step 3: Cross multiply
    361,334.34x = 498,628.16 × 208,378.98
  4. Step 4: Simplify right side
    361,334.34x = 103,903,626,338.18
  5. Step 5: Solve for x
    x = 103,903,626,338.18/361,334.34
  6. Step 6: Final answer
    x = 287,555.36

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1.5x scale

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.