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Finding the Fourth Proportional to 463,858.71, 640,515.11 and 348,938.16

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Solution

The fourth proportional to 463,858.71, 640,515.11 and 348,938.16 is: 481,828.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,858.71 : 640,515.11 = 348,938.16 : x
  2. Step 2: Convert to fraction form
    463,858.71/640,515.11 = 348,938.16/x
  3. Step 3: Cross multiply
    463,858.71x = 640,515.11 × 348,938.16
  4. Step 4: Simplify right side
    463,858.71x = 223,500,163,935.60
  5. Step 5: Solve for x
    x = 223,500,163,935.60/463,858.71
  6. Step 6: Final answer
    x = 481,828.11

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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.