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Finding the Fourth Proportional to 476,651.40, 714,976.29 and 121,665.30

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Solution

The fourth proportional to 476,651.40, 714,976.29 and 121,665.30 is: 182,497.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,651.40 : 714,976.29 = 121,665.30 : x
  2. Step 2: Convert to fraction form
    476,651.40/714,976.29 = 121,665.30/x
  3. Step 3: Cross multiply
    476,651.40x = 714,976.29 × 121,665.30
  4. Step 4: Simplify right side
    476,651.40x = 86,987,804,815.74
  5. Step 5: Solve for x
    x = 86,987,804,815.74/476,651.40
  6. Step 6: Final answer
    x = 182,497.74

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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.