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Finding the Fourth Proportional to 712,252.96, 982,871.76 and 389,901.34

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Solution

The fourth proportional to 712,252.96, 982,871.76 and 389,901.34 is: 538,043.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,252.96 : 982,871.76 = 389,901.34 : x
  2. Step 2: Convert to fraction form
    712,252.96/982,871.76 = 389,901.34/x
  3. Step 3: Cross multiply
    712,252.96x = 982,871.76 × 389,901.34
  4. Step 4: Simplify right side
    712,252.96x = 383,223,016,272.16
  5. Step 5: Solve for x
    x = 383,223,016,272.16/712,252.96
  6. Step 6: Final answer
    x = 538,043.42

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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.