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Finding the Fourth Proportional to 455,412.70, 683,119.05 and 139,828.60

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Solution

The fourth proportional to 455,412.70, 683,119.05 and 139,828.60 is: 209,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,412.70 : 683,119.05 = 139,828.60 : x
  2. Step 2: Convert to fraction form
    455,412.70/683,119.05 = 139,828.60/x
  3. Step 3: Cross multiply
    455,412.70x = 683,119.05 × 139,828.60
  4. Step 4: Simplify right side
    455,412.70x = 95,519,580,394.83
  5. Step 5: Solve for x
    x = 95,519,580,394.83/455,412.70
  6. Step 6: Final answer
    x = 209,742.90

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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.