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Finding the Fourth Proportional to 324,004.80, 486,590.40 and 313,507.20

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Solution

The fourth proportional to 324,004.80, 486,590.40 and 313,507.20 is: 470,825.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,004.80 : 486,590.40 = 313,507.20 : x
  2. Step 2: Convert to fraction form
    324,004.80/486,590.40 = 313,507.20/x
  3. Step 3: Cross multiply
    324,004.80x = 486,590.40 × 313,507.20
  4. Step 4: Simplify right side
    324,004.80x = 152,549,593,850.88
  5. Step 5: Solve for x
    x = 152,549,593,850.88/324,004.80
  6. Step 6: Final answer
    x = 470,825.10

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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.