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Finding the Fourth Proportional to 831,494.64, 1,147,473.08 and 504,713.20

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Solution

The fourth proportional to 831,494.64, 1,147,473.08 and 504,713.20 is: 696,510.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,494.64 : 1,147,473.08 = 504,713.20 : x
  2. Step 2: Convert to fraction form
    831,494.64/1,147,473.08 = 504,713.20/x
  3. Step 3: Cross multiply
    831,494.64x = 1,147,473.08 × 504,713.20
  4. Step 4: Simplify right side
    831,494.64x = 579,144,810,120.66
  5. Step 5: Solve for x
    x = 579,144,810,120.66/831,494.64
  6. Step 6: Final answer
    x = 696,510.58

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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.