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Finding the Fourth Proportional to 480,856.36, 721,350.16 and 200,308

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Solution

The fourth proportional to 480,856.36, 721,350.16 and 200,308 is: 300,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,856.36 : 721,350.16 = 200,308 : x
  2. Step 2: Convert to fraction form
    480,856.36/721,350.16 = 200,308/x
  3. Step 3: Cross multiply
    480,856.36x = 721,350.16 × 200,308
  4. Step 4: Simplify right side
    480,856.36x = 144,492,207,849.28
  5. Step 5: Solve for x
    x = 144,492,207,849.28/480,856.36
  6. Step 6: Final answer
    x = 300,489.34

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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.