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Finding the Fourth Proportional to 657,955.80, 986,966.10 and 343,027.80

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Solution

The fourth proportional to 657,955.80, 986,966.10 and 343,027.80 is: 514,558.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,955.80 : 986,966.10 = 343,027.80 : x
  2. Step 2: Convert to fraction form
    657,955.80/986,966.10 = 343,027.80/x
  3. Step 3: Cross multiply
    657,955.80x = 986,966.10 × 343,027.80
  4. Step 4: Simplify right side
    657,955.80x = 338,556,809,957.58
  5. Step 5: Solve for x
    x = 338,556,809,957.58/657,955.80
  6. Step 6: Final answer
    x = 514,558.59

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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.