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Finding the Fourth Proportional to 712,876.80, 983,732.36 and 406,941

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Solution

The fourth proportional to 712,876.80, 983,732.36 and 406,941 is: 561,557.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,876.80 : 983,732.36 = 406,941 : x
  2. Step 2: Convert to fraction form
    712,876.80/983,732.36 = 406,941/x
  3. Step 3: Cross multiply
    712,876.80x = 983,732.36 × 406,941
  4. Step 4: Simplify right side
    712,876.80x = 400,321,030,310.76
  5. Step 5: Solve for x
    x = 400,321,030,310.76/712,876.80
  6. Step 6: Final answer
    x = 561,557.10

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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.