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Finding the Fourth Proportional to 255,407.78, 383,168.01 and 77,928.50

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Solution

The fourth proportional to 255,407.78, 383,168.01 and 77,928.50 is: 116,909.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,407.78 : 383,168.01 = 77,928.50 : x
  2. Step 2: Convert to fraction form
    255,407.78/383,168.01 = 77,928.50/x
  3. Step 3: Cross multiply
    255,407.78x = 383,168.01 × 77,928.50
  4. Step 4: Simplify right side
    255,407.78x = 29,859,708,267.29
  5. Step 5: Solve for x
    x = 29,859,708,267.29/255,407.78
  6. Step 6: Final answer
    x = 116,909.94

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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.