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Finding the Fourth Proportional to 301,882, 416,430.75 and 245,194.96

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Solution

The fourth proportional to 301,882, 416,430.75 and 245,194.96 is: 338,233.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,882 : 416,430.75 = 245,194.96 : x
  2. Step 2: Convert to fraction form
    301,882/416,430.75 = 245,194.96/x
  3. Step 3: Cross multiply
    301,882x = 416,430.75 × 245,194.96
  4. Step 4: Simplify right side
    301,882x = 102,106,721,089.02
  5. Step 5: Solve for x
    x = 102,106,721,089.02/301,882
  6. Step 6: Final answer
    x = 338,233.88

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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.