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Finding the Fourth Proportional to 312,325.88, 430,815.92 and 230,570.55

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Solution

The fourth proportional to 312,325.88, 430,815.92 and 230,570.55 is: 318,044.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,325.88 : 430,815.92 = 230,570.55 : x
  2. Step 2: Convert to fraction form
    312,325.88/430,815.92 = 230,570.55/x
  3. Step 3: Cross multiply
    312,325.88x = 430,815.92 × 230,570.55
  4. Step 4: Simplify right side
    312,325.88x = 99,333,462,470.30
  5. Step 5: Solve for x
    x = 99,333,462,470.30/312,325.88
  6. Step 6: Final answer
    x = 318,044.29

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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.