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Finding the Fourth Proportional to 712,793.82, 983,687.85 and 406,952.94

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Solution

The fourth proportional to 712,793.82, 983,687.85 and 406,952.94 is: 561,613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,793.82 : 983,687.85 = 406,952.94 : x
  2. Step 2: Convert to fraction form
    712,793.82/983,687.85 = 406,952.94/x
  3. Step 3: Cross multiply
    712,793.82x = 983,687.85 × 406,952.94
  4. Step 4: Simplify right side
    712,793.82x = 400,314,662,599.78
  5. Step 5: Solve for x
    x = 400,314,662,599.78/712,793.82
  6. Step 6: Final answer
    x = 561,613.54

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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.