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Finding the Fourth Proportional to 315,635.40, 473,453.10 and 259,538.85

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Solution

The fourth proportional to 315,635.40, 473,453.10 and 259,538.85 is: 389,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,635.40 : 473,453.10 = 259,538.85 : x
  2. Step 2: Convert to fraction form
    315,635.40/473,453.10 = 259,538.85/x
  3. Step 3: Cross multiply
    315,635.40x = 473,453.10 × 259,538.85
  4. Step 4: Simplify right side
    315,635.40x = 122,879,473,102.94
  5. Step 5: Solve for x
    x = 122,879,473,102.94/315,635.40
  6. Step 6: Final answer
    x = 389,308.28

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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.