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Finding the Fourth Proportional to 484,519.72, 668,257.86 and 314,809

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Solution

The fourth proportional to 484,519.72, 668,257.86 and 314,809 is: 434,189.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,519.72 : 668,257.86 = 314,809 : x
  2. Step 2: Convert to fraction form
    484,519.72/668,257.86 = 314,809/x
  3. Step 3: Cross multiply
    484,519.72x = 668,257.86 × 314,809
  4. Step 4: Simplify right side
    484,519.72x = 210,373,588,648.74
  5. Step 5: Solve for x
    x = 210,373,588,648.74/484,519.72
  6. Step 6: Final answer
    x = 434,189.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.