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Finding the Fourth Proportional to 321,778.21, 482,730.23 and 97,156.93

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Solution

The fourth proportional to 321,778.21, 482,730.23 and 97,156.93 is: 145,754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,778.21 : 482,730.23 = 97,156.93 : x
  2. Step 2: Convert to fraction form
    321,778.21/482,730.23 = 97,156.93/x
  3. Step 3: Cross multiply
    321,778.21x = 482,730.23 × 97,156.93
  4. Step 4: Simplify right side
    321,778.21x = 46,900,587,164.99
  5. Step 5: Solve for x
    x = 46,900,587,164.99/321,778.21
  6. Step 6: Final answer
    x = 145,754.39

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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.