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Finding the Fourth Proportional to 657,139.80, 985,968.90 and 257,712.60

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Solution

The fourth proportional to 657,139.80, 985,968.90 and 257,712.60 is: 386,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,139.80 : 985,968.90 = 257,712.60 : x
  2. Step 2: Convert to fraction form
    657,139.80/985,968.90 = 257,712.60/x
  3. Step 3: Cross multiply
    657,139.80x = 985,968.90 × 257,712.60
  4. Step 4: Simplify right side
    657,139.80x = 254,096,608,738.14
  5. Step 5: Solve for x
    x = 254,096,608,738.14/657,139.80
  6. Step 6: Final answer
    x = 386,670.55

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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.