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Finding the Fourth Proportional to 322,073.20, 483,109.80 and 286,643.80

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Solution

The fourth proportional to 322,073.20, 483,109.80 and 286,643.80 is: 429,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,073.20 : 483,109.80 = 286,643.80 : x
  2. Step 2: Convert to fraction form
    322,073.20/483,109.80 = 286,643.80/x
  3. Step 3: Cross multiply
    322,073.20x = 483,109.80 × 286,643.80
  4. Step 4: Simplify right side
    322,073.20x = 138,480,428,889.24
  5. Step 5: Solve for x
    x = 138,480,428,889.24/322,073.20
  6. Step 6: Final answer
    x = 429,965.70

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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.