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Finding the Fourth Proportional to 313,777.97, 433,011 and 170,538.89

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Solution

The fourth proportional to 313,777.97, 433,011 and 170,538.89 is: 235,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,777.97 : 433,011 = 170,538.89 : x
  2. Step 2: Convert to fraction form
    313,777.97/433,011 = 170,538.89/x
  3. Step 3: Cross multiply
    313,777.97x = 433,011 × 170,538.89
  4. Step 4: Simplify right side
    313,777.97x = 73,845,213,132.74
  5. Step 5: Solve for x
    x = 73,845,213,132.74/313,777.97
  6. Step 6: Final answer
    x = 235,342.25

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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.