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Finding the Fourth Proportional to 428,841.50, 642,450.31 and 286,256.84

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Solution

The fourth proportional to 428,841.50, 642,450.31 and 286,256.84 is: 428,843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,841.50 : 642,450.31 = 286,256.84 : x
  2. Step 2: Convert to fraction form
    428,841.50/642,450.31 = 286,256.84/x
  3. Step 3: Cross multiply
    428,841.50x = 642,450.31 × 286,256.84
  4. Step 4: Simplify right side
    428,841.50x = 183,905,793,991.50
  5. Step 5: Solve for x
    x = 183,905,793,991.50/428,841.50
  6. Step 6: Final answer
    x = 428,843.28

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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.