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Finding the Fourth Proportional to 312,649.60, 469,074.84 and 102,239.68

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Solution

The fourth proportional to 312,649.60, 469,074.84 and 102,239.68 is: 153,392.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,649.60 : 469,074.84 = 102,239.68 : x
  2. Step 2: Convert to fraction form
    312,649.60/469,074.84 = 102,239.68/x
  3. Step 3: Cross multiply
    312,649.60x = 469,074.84 × 102,239.68
  4. Step 4: Simplify right side
    312,649.60x = 47,958,061,537.65
  5. Step 5: Solve for x
    x = 47,958,061,537.65/312,649.60
  6. Step 6: Final answer
    x = 153,392.36

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1.5x scale

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.