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Finding the Fourth Proportional to 480,858.36, 721,353.16 and 200,310

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Solution

The fourth proportional to 480,858.36, 721,353.16 and 200,310 is: 300,492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,858.36 : 721,353.16 = 200,310 : x
  2. Step 2: Convert to fraction form
    480,858.36/721,353.16 = 200,310/x
  3. Step 3: Cross multiply
    480,858.36x = 721,353.16 × 200,310
  4. Step 4: Simplify right side
    480,858.36x = 144,494,251,479.60
  5. Step 5: Solve for x
    x = 144,494,251,479.60/480,858.36
  6. Step 6: Final answer
    x = 300,492.34

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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.