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Finding the Fourth Proportional to 498,993.60, 688,393.91 and 305,409.93

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Solution

The fourth proportional to 498,993.60, 688,393.91 and 305,409.93 is: 421,332.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,993.60 : 688,393.91 = 305,409.93 : x
  2. Step 2: Convert to fraction form
    498,993.60/688,393.91 = 305,409.93/x
  3. Step 3: Cross multiply
    498,993.60x = 688,393.91 × 305,409.93
  4. Step 4: Simplify right side
    498,993.60x = 210,242,336,059.46
  5. Step 5: Solve for x
    x = 210,242,336,059.46/498,993.60
  6. Step 6: Final answer
    x = 421,332.73

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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.