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Finding the Fourth Proportional to 611,741.13, 917,806.70 and 256,659.81

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Solution

The fourth proportional to 611,741.13, 917,806.70 and 256,659.81 is: 385,071.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,741.13 : 917,806.70 = 256,659.81 : x
  2. Step 2: Convert to fraction form
    611,741.13/917,806.70 = 256,659.81/x
  3. Step 3: Cross multiply
    611,741.13x = 917,806.70 × 256,659.81
  4. Step 4: Simplify right side
    611,741.13x = 235,564,093,238.73
  5. Step 5: Solve for x
    x = 235,564,093,238.73/611,741.13
  6. Step 6: Final answer
    x = 385,071.53

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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.