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Finding the Fourth Proportional to 454,940.20, 682,971.90 and 286,460.20

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Solution

The fourth proportional to 454,940.20, 682,971.90 and 286,460.20 is: 430,043.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,940.20 : 682,971.90 = 286,460.20 : x
  2. Step 2: Convert to fraction form
    454,940.20/682,971.90 = 286,460.20/x
  3. Step 3: Cross multiply
    454,940.20x = 682,971.90 × 286,460.20
  4. Step 4: Simplify right side
    454,940.20x = 195,644,267,068.38
  5. Step 5: Solve for x
    x = 195,644,267,068.38/454,940.20
  6. Step 6: Final answer
    x = 430,043.92

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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.