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Finding the Fourth Proportional to 498,993.35, 688,393.56 and 305,409.68

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Solution

The fourth proportional to 498,993.35, 688,393.56 and 305,409.68 is: 421,332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,993.35 : 688,393.56 = 305,409.68 : x
  2. Step 2: Convert to fraction form
    498,993.35/688,393.56 = 305,409.68/x
  3. Step 3: Cross multiply
    498,993.35x = 688,393.56 × 305,409.68
  4. Step 4: Simplify right side
    498,993.35x = 210,242,058,594.65
  5. Step 5: Solve for x
    x = 210,242,058,594.65/498,993.35
  6. Step 6: Final answer
    x = 421,332.38

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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.