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Finding the Fourth Proportional to 320,870.97, 442,848.27 and 184,878.86

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Solution

The fourth proportional to 320,870.97, 442,848.27 and 184,878.86 is: 255,159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,870.97 : 442,848.27 = 184,878.86 : x
  2. Step 2: Convert to fraction form
    320,870.97/442,848.27 = 184,878.86/x
  3. Step 3: Cross multiply
    320,870.97x = 442,848.27 × 184,878.86
  4. Step 4: Simplify right side
    320,870.97x = 81,873,283,310.57
  5. Step 5: Solve for x
    x = 81,873,283,310.57/320,870.97
  6. Step 6: Final answer
    x = 255,159.52

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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.