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Finding the Fourth Proportional to 455,596.78, 683,460.52 and 140,080.18

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Solution

The fourth proportional to 455,596.78, 683,460.52 and 140,080.18 is: 210,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,596.78 : 683,460.52 = 140,080.18 : x
  2. Step 2: Convert to fraction form
    455,596.78/683,460.52 = 140,080.18/x
  3. Step 3: Cross multiply
    455,596.78x = 683,460.52 × 140,080.18
  4. Step 4: Simplify right side
    455,596.78x = 95,739,272,664.49
  5. Step 5: Solve for x
    x = 95,739,272,664.49/455,596.78
  6. Step 6: Final answer
    x = 210,140.36

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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.