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Finding the Fourth Proportional to 657,864.80, 986,829.60 and 342,936.80

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Solution

The fourth proportional to 657,864.80, 986,829.60 and 342,936.80 is: 514,422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,864.80 : 986,829.60 = 342,936.80 : x
  2. Step 2: Convert to fraction form
    657,864.80/986,829.60 = 342,936.80/x
  3. Step 3: Cross multiply
    657,864.80x = 986,829.60 × 342,936.80
  4. Step 4: Simplify right side
    657,864.80x = 338,420,185,169.28
  5. Step 5: Solve for x
    x = 338,420,185,169.28/657,864.80
  6. Step 6: Final answer
    x = 514,422.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.