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Finding the Fourth Proportional to 712,103.71, 982,703.04 and 389,814.02

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Solution

The fourth proportional to 712,103.71, 982,703.04 and 389,814.02 is: 537,943.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,103.71 : 982,703.04 = 389,814.02 : x
  2. Step 2: Convert to fraction form
    712,103.71/982,703.04 = 389,814.02/x
  3. Step 3: Cross multiply
    712,103.71x = 982,703.04 × 389,814.02
  4. Step 4: Simplify right side
    712,103.71x = 383,071,422,488.62
  5. Step 5: Solve for x
    x = 383,071,422,488.62/712,103.71
  6. Step 6: Final answer
    x = 537,943.30

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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.