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Finding the Fourth Proportional to 313,649.82, 432,741.42 and 177,662.16

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Solution

The fourth proportional to 313,649.82, 432,741.42 and 177,662.16 is: 245,119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,649.82 : 432,741.42 = 177,662.16 : x
  2. Step 2: Convert to fraction form
    313,649.82/432,741.42 = 177,662.16/x
  3. Step 3: Cross multiply
    313,649.82x = 432,741.42 × 177,662.16
  4. Step 4: Simplify right side
    313,649.82x = 76,881,775,398.67
  5. Step 5: Solve for x
    x = 76,881,775,398.67/313,649.82
  6. Step 6: Final answer
    x = 245,119.78

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1.5x scale

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.