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Finding the Fourth Proportional to 415,040.80, 623,144.40 and 257,576.80

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Solution

The fourth proportional to 415,040.80, 623,144.40 and 257,576.80 is: 386,727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,040.80 : 623,144.40 = 257,576.80 : x
  2. Step 2: Convert to fraction form
    415,040.80/623,144.40 = 257,576.80/x
  3. Step 3: Cross multiply
    415,040.80x = 623,144.40 × 257,576.80
  4. Step 4: Simplify right side
    415,040.80x = 160,507,540,489.92
  5. Step 5: Solve for x
    x = 160,507,540,489.92/415,040.80
  6. Step 6: Final answer
    x = 386,727.14

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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.