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Finding the Fourth Proportional to 400,284.43, 600,425.92 and 130,412.25

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Solution

The fourth proportional to 400,284.43, 600,425.92 and 130,412.25 is: 195,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,284.43 : 600,425.92 = 130,412.25 : x
  2. Step 2: Convert to fraction form
    400,284.43/600,425.92 = 130,412.25/x
  3. Step 3: Cross multiply
    400,284.43x = 600,425.92 × 130,412.25
  4. Step 4: Simplify right side
    400,284.43x = 78,302,895,185.52
  5. Step 5: Solve for x
    x = 78,302,895,185.52/400,284.43
  6. Step 6: Final answer
    x = 195,618.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.