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Finding the Fourth Proportional to 463,888.70, 640,166.49 and 282,600.57

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Solution

The fourth proportional to 463,888.70, 640,166.49 and 282,600.57 is: 389,988.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,888.70 : 640,166.49 = 282,600.57 : x
  2. Step 2: Convert to fraction form
    463,888.70/640,166.49 = 282,600.57/x
  3. Step 3: Cross multiply
    463,888.70x = 640,166.49 × 282,600.57
  4. Step 4: Simplify right side
    463,888.70x = 180,911,414,968.90
  5. Step 5: Solve for x
    x = 180,911,414,968.90/463,888.70
  6. Step 6: Final answer
    x = 389,988.84

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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.