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Finding the Fourth Proportional to 463,855.21, 640,510.28 and 348,934.66

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Solution

The fourth proportional to 463,855.21, 640,510.28 and 348,934.66 is: 481,823.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,855.21 : 640,510.28 = 348,934.66 : x
  2. Step 2: Convert to fraction form
    463,855.21/640,510.28 = 348,934.66/x
  3. Step 3: Cross multiply
    463,855.21x = 640,510.28 × 348,934.66
  4. Step 4: Simplify right side
    463,855.21x = 223,496,235,033.63
  5. Step 5: Solve for x
    x = 223,496,235,033.63/463,855.21
  6. Step 6: Final answer
    x = 481,823.27

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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.