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Finding the Fourth Proportional to 516,880.26, 713,190.21 and 301,978.82

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Solution

The fourth proportional to 516,880.26, 713,190.21 and 301,978.82 is: 416,669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,880.26 : 713,190.21 = 301,978.82 : x
  2. Step 2: Convert to fraction form
    516,880.26/713,190.21 = 301,978.82/x
  3. Step 3: Cross multiply
    516,880.26x = 713,190.21 × 301,978.82
  4. Step 4: Simplify right side
    516,880.26x = 215,368,338,051.35
  5. Step 5: Solve for x
    x = 215,368,338,051.35/516,880.26
  6. Step 6: Final answer
    x = 416,669.69

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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.