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Finding the Fourth Proportional to 405,142.80, 607,714.20 and 254,895.90

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Solution

The fourth proportional to 405,142.80, 607,714.20 and 254,895.90 is: 382,343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,142.80 : 607,714.20 = 254,895.90 : x
  2. Step 2: Convert to fraction form
    405,142.80/607,714.20 = 254,895.90/x
  3. Step 3: Cross multiply
    405,142.80x = 607,714.20 × 254,895.90
  4. Step 4: Simplify right side
    405,142.80x = 154,903,857,951.78
  5. Step 5: Solve for x
    x = 154,903,857,951.78/405,142.80
  6. Step 6: Final answer
    x = 382,343.85

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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.