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Finding the Fourth Proportional to 463,890.70, 640,169.25 and 282,602.57

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Solution

The fourth proportional to 463,890.70, 640,169.25 and 282,602.57 is: 389,991.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,890.70 : 640,169.25 = 282,602.57 : x
  2. Step 2: Convert to fraction form
    463,890.70/640,169.25 = 282,602.57/x
  3. Step 3: Cross multiply
    463,890.70x = 640,169.25 × 282,602.57
  4. Step 4: Simplify right side
    463,890.70x = 180,913,475,284.97
  5. Step 5: Solve for x
    x = 180,913,475,284.97/463,890.70
  6. Step 6: Final answer
    x = 389,991.60

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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.