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Finding the Fourth Proportional to 423,995, 636,284.10 and 174,677

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Solution

The fourth proportional to 423,995, 636,284.10 and 174,677 is: 262,135.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,995 : 636,284.10 = 174,677 : x
  2. Step 2: Convert to fraction form
    423,995/636,284.10 = 174,677/x
  3. Step 3: Cross multiply
    423,995x = 636,284.10 × 174,677
  4. Step 4: Simplify right side
    423,995x = 111,144,197,735.70
  5. Step 5: Solve for x
    x = 111,144,197,735.70/423,995
  6. Step 6: Final answer
    x = 262,135.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.