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Finding the Fourth Proportional to 712,215.69, 982,860.54 and 389,955.78

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Solution

The fourth proportional to 712,215.69, 982,860.54 and 389,955.78 is: 538,140.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,215.69 : 982,860.54 = 389,955.78 : x
  2. Step 2: Convert to fraction form
    712,215.69/982,860.54 = 389,955.78/x
  3. Step 3: Cross multiply
    712,215.69x = 982,860.54 × 389,955.78
  4. Step 4: Simplify right side
    712,215.69x = 383,272,148,506.92
  5. Step 5: Solve for x
    x = 383,272,148,506.92/712,215.69
  6. Step 6: Final answer
    x = 538,140.56

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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.