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Finding the Fourth Proportional to 831,706.66, 1,147,753.83 and 469,129.40

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Solution

The fourth proportional to 831,706.66, 1,147,753.83 and 469,129.40 is: 647,397.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,706.66 : 1,147,753.83 = 469,129.40 : x
  2. Step 2: Convert to fraction form
    831,706.66/1,147,753.83 = 469,129.40/x
  3. Step 3: Cross multiply
    831,706.66x = 1,147,753.83 × 469,129.40
  4. Step 4: Simplify right side
    831,706.66x = 538,445,065,615.60
  5. Step 5: Solve for x
    x = 538,445,065,615.60/831,706.66
  6. Step 6: Final answer
    x = 647,397.80

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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.