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Finding the Fourth Proportional to 712,102.71, 982,701.66 and 389,813.02

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Solution

The fourth proportional to 712,102.71, 982,701.66 and 389,813.02 is: 537,941.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,102.71 : 982,701.66 = 389,813.02 : x
  2. Step 2: Convert to fraction form
    712,102.71/982,701.66 = 389,813.02/x
  3. Step 3: Cross multiply
    712,102.71x = 982,701.66 × 389,813.02
  4. Step 4: Simplify right side
    712,102.71x = 383,069,901,843.61
  5. Step 5: Solve for x
    x = 383,069,901,843.61/712,102.71
  6. Step 6: Final answer
    x = 537,941.93

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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.