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Finding the Fourth Proportional to 712,880.80, 983,737.88 and 406,945

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Solution

The fourth proportional to 712,880.80, 983,737.88 and 406,945 is: 561,562.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,880.80 : 983,737.88 = 406,945 : x
  2. Step 2: Convert to fraction form
    712,880.80/983,737.88 = 406,945/x
  3. Step 3: Cross multiply
    712,880.80x = 983,737.88 × 406,945
  4. Step 4: Simplify right side
    712,880.80x = 400,327,211,576.60
  5. Step 5: Solve for x
    x = 400,327,211,576.60/712,880.80
  6. Step 6: Final answer
    x = 561,562.62

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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.