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Finding the Fourth Proportional to 657,076.80, 985,615.20 and 257,730.60

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Solution

The fourth proportional to 657,076.80, 985,615.20 and 257,730.60 is: 386,595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,076.80 : 985,615.20 = 257,730.60 : x
  2. Step 2: Convert to fraction form
    657,076.80/985,615.20 = 257,730.60/x
  3. Step 3: Cross multiply
    657,076.80x = 985,615.20 × 257,730.60
  4. Step 4: Simplify right side
    657,076.80x = 254,023,196,865.12
  5. Step 5: Solve for x
    x = 254,023,196,865.12/657,076.80
  6. Step 6: Final answer
    x = 386,595.90

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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.