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Finding the Fourth Proportional to 321,798.11, 482,775.20 and 97,145.13

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Solution

The fourth proportional to 321,798.11, 482,775.20 and 97,145.13 is: 145,741.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,798.11 : 482,775.20 = 97,145.13 : x
  2. Step 2: Convert to fraction form
    321,798.11/482,775.20 = 97,145.13/x
  3. Step 3: Cross multiply
    321,798.11x = 482,775.20 × 97,145.13
  4. Step 4: Simplify right side
    321,798.11x = 46,899,259,079.05
  5. Step 5: Solve for x
    x = 46,899,259,079.05/321,798.11
  6. Step 6: Final answer
    x = 145,741.25

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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.