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Finding the Fourth Proportional to 321,254.35, 443,319.25 and 185,294.03

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Solution

The fourth proportional to 321,254.35, 443,319.25 and 185,294.03 is: 255,698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,254.35 : 443,319.25 = 185,294.03 : x
  2. Step 2: Convert to fraction form
    321,254.35/443,319.25 = 185,294.03/x
  3. Step 3: Cross multiply
    321,254.35x = 443,319.25 × 185,294.03
  4. Step 4: Simplify right side
    321,254.35x = 82,144,411,091.49
  5. Step 5: Solve for x
    x = 82,144,411,091.49/321,254.35
  6. Step 6: Final answer
    x = 255,698.98

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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.