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Finding the Fourth Proportional to 856,685.75, 1,283,676.75 and 316,198.10

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Solution

The fourth proportional to 856,685.75, 1,283,676.75 and 316,198.10 is: 473,798.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,685.75 : 1,283,676.75 = 316,198.10 : x
  2. Step 2: Convert to fraction form
    856,685.75/1,283,676.75 = 316,198.10/x
  3. Step 3: Cross multiply
    856,685.75x = 1,283,676.75 × 316,198.10
  4. Step 4: Simplify right side
    856,685.75x = 405,896,152,573.37
  5. Step 5: Solve for x
    x = 405,896,152,573.37/856,685.75
  6. Step 6: Final answer
    x = 473,798.19

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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.