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Finding the Fourth Proportional to 463,887.19, 640,164.41 and 282,599.06

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Solution

The fourth proportional to 463,887.19, 640,164.41 and 282,599.06 is: 389,986.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,887.19 : 640,164.41 = 282,599.06 : x
  2. Step 2: Convert to fraction form
    463,887.19/640,164.41 = 282,599.06/x
  3. Step 3: Cross multiply
    463,887.19x = 640,164.41 × 282,599.06
  4. Step 4: Simplify right side
    463,887.19x = 180,909,862,818.36
  5. Step 5: Solve for x
    x = 180,909,862,818.36/463,887.19
  6. Step 6: Final answer
    x = 389,986.76

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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.