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Finding the Fourth Proportional to 428,516.30, 591,153.72 and 301,266.92

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Solution

The fourth proportional to 428,516.30, 591,153.72 and 301,266.92 is: 415,608.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,516.30 : 591,153.72 = 301,266.92 : x
  2. Step 2: Convert to fraction form
    428,516.30/591,153.72 = 301,266.92/x
  3. Step 3: Cross multiply
    428,516.30x = 591,153.72 × 301,266.92
  4. Step 4: Simplify right side
    428,516.30x = 178,095,060,470.94
  5. Step 5: Solve for x
    x = 178,095,060,470.94/428,516.30
  6. Step 6: Final answer
    x = 415,608.60

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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.