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Finding the Fourth Proportional to 255,454.71, 383,181.80 and 120,487.29

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Solution

The fourth proportional to 255,454.71, 383,181.80 and 120,487.29 is: 180,730.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,454.71 : 383,181.80 = 120,487.29 : x
  2. Step 2: Convert to fraction form
    255,454.71/383,181.80 = 120,487.29/x
  3. Step 3: Cross multiply
    255,454.71x = 383,181.80 × 120,487.29
  4. Step 4: Simplify right side
    255,454.71x = 46,168,536,056.89
  5. Step 5: Solve for x
    x = 46,168,536,056.89/255,454.71
  6. Step 6: Final answer
    x = 180,730.81

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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.