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Finding the Fourth Proportional to 700,342.97, 966,460.14 and 428,390.91

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Solution

The fourth proportional to 700,342.97, 966,460.14 and 428,390.91 is: 591,171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,342.97 : 966,460.14 = 428,390.91 : x
  2. Step 2: Convert to fraction form
    700,342.97/966,460.14 = 428,390.91/x
  3. Step 3: Cross multiply
    700,342.97x = 966,460.14 × 428,390.91
  4. Step 4: Simplify right side
    700,342.97x = 414,022,738,853.33
  5. Step 5: Solve for x
    x = 414,022,738,853.33/700,342.97
  6. Step 6: Final answer
    x = 591,171.41

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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.