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Finding the Fourth Proportional to 321,738.20, 482,607.30 and 286,308.80

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Solution

The fourth proportional to 321,738.20, 482,607.30 and 286,308.80 is: 429,463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,738.20 : 482,607.30 = 286,308.80 : x
  2. Step 2: Convert to fraction form
    321,738.20/482,607.30 = 286,308.80/x
  3. Step 3: Cross multiply
    321,738.20x = 482,607.30 × 286,308.80
  4. Step 4: Simplify right side
    321,738.20x = 138,174,716,934.24
  5. Step 5: Solve for x
    x = 138,174,716,934.24/321,738.20
  6. Step 6: Final answer
    x = 429,463.20

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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.