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Finding the Fourth Proportional to 255,780.80, 383,671.20 and 78,288.20

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Solution

The fourth proportional to 255,780.80, 383,671.20 and 78,288.20 is: 117,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,780.80 : 383,671.20 = 78,288.20 : x
  2. Step 2: Convert to fraction form
    255,780.80/383,671.20 = 78,288.20/x
  3. Step 3: Cross multiply
    255,780.80x = 383,671.20 × 78,288.20
  4. Step 4: Simplify right side
    255,780.80x = 30,036,927,639.84
  5. Step 5: Solve for x
    x = 30,036,927,639.84/255,780.80
  6. Step 6: Final answer
    x = 117,432.30

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1.5x scale

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.