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Finding the Fourth Proportional to 463,823.64, 640,099.73 and 282,506.56

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Solution

The fourth proportional to 463,823.64, 640,099.73 and 282,506.56 is: 389,873.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,823.64 : 640,099.73 = 282,506.56 : x
  2. Step 2: Convert to fraction form
    463,823.64/640,099.73 = 282,506.56/x
  3. Step 3: Cross multiply
    463,823.64x = 640,099.73 × 282,506.56
  4. Step 4: Simplify right side
    463,823.64x = 180,832,371,885.25
  5. Step 5: Solve for x
    x = 180,832,371,885.25/463,823.64
  6. Step 6: Final answer
    x = 389,873.12

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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.