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Finding the Fourth Proportional to 407,537.40, 611,306.10 and 255,978.30

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Solution

The fourth proportional to 407,537.40, 611,306.10 and 255,978.30 is: 383,967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,537.40 : 611,306.10 = 255,978.30 : x
  2. Step 2: Convert to fraction form
    407,537.40/611,306.10 = 255,978.30/x
  3. Step 3: Cross multiply
    407,537.40x = 611,306.10 × 255,978.30
  4. Step 4: Simplify right side
    407,537.40x = 156,481,096,257.63
  5. Step 5: Solve for x
    x = 156,481,096,257.63/407,537.40
  6. Step 6: Final answer
    x = 383,967.45

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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.