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Finding the Fourth Proportional to 255,985.92, 383,976 and 115,646.40

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Solution

The fourth proportional to 255,985.92, 383,976 and 115,646.40 is: 173,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,985.92 : 383,976 = 115,646.40 : x
  2. Step 2: Convert to fraction form
    255,985.92/383,976 = 115,646.40/x
  3. Step 3: Cross multiply
    255,985.92x = 383,976 × 115,646.40
  4. Step 4: Simplify right side
    255,985.92x = 44,405,442,086.40
  5. Step 5: Solve for x
    x = 44,405,442,086.40/255,985.92
  6. Step 6: Final answer
    x = 173,468.30

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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.