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Finding the Fourth Proportional to 402,864.90, 603,313.20 and 302,481.60

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Solution

The fourth proportional to 402,864.90, 603,313.20 and 302,481.60 is: 452,983.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,864.90 : 603,313.20 = 302,481.60 : x
  2. Step 2: Convert to fraction form
    402,864.90/603,313.20 = 302,481.60/x
  3. Step 3: Cross multiply
    402,864.90x = 603,313.20 × 302,481.60
  4. Step 4: Simplify right side
    402,864.90x = 182,491,142,037.12
  5. Step 5: Solve for x
    x = 182,491,142,037.12/402,864.90
  6. Step 6: Final answer
    x = 452,983.47

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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.