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Finding the Fourth Proportional to 456,322.61, 629,726.64 and 255,118.61

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Solution

The fourth proportional to 456,322.61, 629,726.64 and 255,118.61 is: 352,064.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,322.61 : 629,726.64 = 255,118.61 : x
  2. Step 2: Convert to fraction form
    456,322.61/629,726.64 = 255,118.61/x
  3. Step 3: Cross multiply
    456,322.61x = 629,726.64 × 255,118.61
  4. Step 4: Simplify right side
    456,322.61x = 160,654,985,076.77
  5. Step 5: Solve for x
    x = 160,654,985,076.77/456,322.61
  6. Step 6: Final answer
    x = 352,064.49

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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.