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Finding the Fourth Proportional to 500,494.90, 690,751.68 and 306,868.36

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Solution

The fourth proportional to 500,494.90, 690,751.68 and 306,868.36 is: 423,520.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,494.90 : 690,751.68 = 306,868.36 : x
  2. Step 2: Convert to fraction form
    500,494.90/690,751.68 = 306,868.36/x
  3. Step 3: Cross multiply
    500,494.90x = 690,751.68 × 306,868.36
  4. Step 4: Simplify right side
    500,494.90x = 211,969,835,208.85
  5. Step 5: Solve for x
    x = 211,969,835,208.85/500,494.90
  6. Step 6: Final answer
    x = 423,520.47

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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.