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Finding the Fourth Proportional to 856,649.76, 1,284,750.72 and 257,450.64

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Solution

The fourth proportional to 856,649.76, 1,284,750.72 and 257,450.64 is: 386,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,649.76 : 1,284,750.72 = 257,450.64 : x
  2. Step 2: Convert to fraction form
    856,649.76/1,284,750.72 = 257,450.64/x
  3. Step 3: Cross multiply
    856,649.76x = 1,284,750.72 × 257,450.64
  4. Step 4: Simplify right side
    856,649.76x = 330,759,895,104.46
  5. Step 5: Solve for x
    x = 330,759,895,104.46/856,649.76
  6. Step 6: Final answer
    x = 386,108.66

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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.