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Finding the Fourth Proportional to 384,005.90, 575,987.28 and 117,765.68

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Solution

The fourth proportional to 384,005.90, 575,987.28 and 117,765.68 is: 176,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,005.90 : 575,987.28 = 117,765.68 : x
  2. Step 2: Convert to fraction form
    384,005.90/575,987.28 = 117,765.68/x
  3. Step 3: Cross multiply
    384,005.90x = 575,987.28 × 117,765.68
  4. Step 4: Simplify right side
    384,005.90x = 67,831,530,820.61
  5. Step 5: Solve for x
    x = 67,831,530,820.61/384,005.90
  6. Step 6: Final answer
    x = 176,641.90

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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.