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Finding the Fourth Proportional to 301,301.31, 415,990.59 and 186,701.56

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Solution

The fourth proportional to 301,301.31, 415,990.59 and 186,701.56 is: 257,768.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,301.31 : 415,990.59 = 186,701.56 : x
  2. Step 2: Convert to fraction form
    301,301.31/415,990.59 = 186,701.56/x
  3. Step 3: Cross multiply
    301,301.31x = 415,990.59 × 186,701.56
  4. Step 4: Simplify right side
    301,301.31x = 77,666,092,098.32
  5. Step 5: Solve for x
    x = 77,666,092,098.32/301,301.31
  6. Step 6: Final answer
    x = 257,768.85

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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.