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Finding the Fourth Proportional to 255,957.10, 384,009.42 and 78,490.28

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Solution

The fourth proportional to 255,957.10, 384,009.42 and 78,490.28 is: 117,758.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,957.10 : 384,009.42 = 78,490.28 : x
  2. Step 2: Convert to fraction form
    255,957.10/384,009.42 = 78,490.28/x
  3. Step 3: Cross multiply
    255,957.10x = 384,009.42 × 78,490.28
  4. Step 4: Simplify right side
    255,957.10x = 30,141,006,898.44
  5. Step 5: Solve for x
    x = 30,141,006,898.44/255,957.10
  6. Step 6: Final answer
    x = 117,758.04

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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.