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Finding the Fourth Proportional to 480,877.36, 721,381.68 and 200,329

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Solution

The fourth proportional to 480,877.36, 721,381.68 and 200,329 is: 300,520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,877.36 : 721,381.68 = 200,329 : x
  2. Step 2: Convert to fraction form
    480,877.36/721,381.68 = 200,329/x
  3. Step 3: Cross multiply
    480,877.36x = 721,381.68 × 200,329
  4. Step 4: Simplify right side
    480,877.36x = 144,513,670,572.72
  5. Step 5: Solve for x
    x = 144,513,670,572.72/480,877.36
  6. Step 6: Final answer
    x = 300,520.85

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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.