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Finding the Fourth Proportional to 295,899.93, 407,862.09 and 231,255

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Solution

The fourth proportional to 295,899.93, 407,862.09 and 231,255 is: 318,756.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,899.93 : 407,862.09 = 231,255 : x
  2. Step 2: Convert to fraction form
    295,899.93/407,862.09 = 231,255/x
  3. Step 3: Cross multiply
    295,899.93x = 407,862.09 × 231,255
  4. Step 4: Simplify right side
    295,899.93x = 94,320,147,622.95
  5. Step 5: Solve for x
    x = 94,320,147,622.95/295,899.93
  6. Step 6: Final answer
    x = 318,756.91

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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.