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Finding the Fourth Proportional to 455,219.90, 682,765.05 and 155,714.30

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Solution

The fourth proportional to 455,219.90, 682,765.05 and 155,714.30 is: 233,549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,219.90 : 682,765.05 = 155,714.30 : x
  2. Step 2: Convert to fraction form
    455,219.90/682,765.05 = 155,714.30/x
  3. Step 3: Cross multiply
    455,219.90x = 682,765.05 × 155,714.30
  4. Step 4: Simplify right side
    455,219.90x = 106,316,281,825.22
  5. Step 5: Solve for x
    x = 106,316,281,825.22/455,219.90
  6. Step 6: Final answer
    x = 233,549.28

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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.