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Finding the Fourth Proportional to 287,999.40, 431,999.10 and 256,506.60

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Solution

The fourth proportional to 287,999.40, 431,999.10 and 256,506.60 is: 384,759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,999.40 : 431,999.10 = 256,506.60 : x
  2. Step 2: Convert to fraction form
    287,999.40/431,999.10 = 256,506.60/x
  3. Step 3: Cross multiply
    287,999.40x = 431,999.10 × 256,506.60
  4. Step 4: Simplify right side
    287,999.40x = 110,810,620,344.06
  5. Step 5: Solve for x
    x = 110,810,620,344.06/287,999.40
  6. Step 6: Final answer
    x = 384,759.90

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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.