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Finding the Fourth Proportional to 321,908.10, 482,862.15 and 97,303.20

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Solution

The fourth proportional to 321,908.10, 482,862.15 and 97,303.20 is: 145,954.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,908.10 : 482,862.15 = 97,303.20 : x
  2. Step 2: Convert to fraction form
    321,908.10/482,862.15 = 97,303.20/x
  3. Step 3: Cross multiply
    321,908.10x = 482,862.15 × 97,303.20
  4. Step 4: Simplify right side
    321,908.10x = 46,984,032,353.88
  5. Step 5: Solve for x
    x = 46,984,032,353.88/321,908.10
  6. Step 6: Final answer
    x = 145,954.80

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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.