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Finding the Fourth Proportional to 463,689.92, 639,991.68 and 282,461.60

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Solution

The fourth proportional to 463,689.92, 639,991.68 and 282,461.60 is: 389,857.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,689.92 : 639,991.68 = 282,461.60 : x
  2. Step 2: Convert to fraction form
    463,689.92/639,991.68 = 282,461.60/x
  3. Step 3: Cross multiply
    463,689.92x = 639,991.68 × 282,461.60
  4. Step 4: Simplify right side
    463,689.92x = 180,773,073,919.49
  5. Step 5: Solve for x
    x = 180,773,073,919.49/463,689.92
  6. Step 6: Final answer
    x = 389,857.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.