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Finding the Fourth Proportional to 255,732.80, 383,599.20 and 78,240.20

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Solution

The fourth proportional to 255,732.80, 383,599.20 and 78,240.20 is: 117,360.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,732.80 : 383,599.20 = 78,240.20 : x
  2. Step 2: Convert to fraction form
    255,732.80/383,599.20 = 78,240.20/x
  3. Step 3: Cross multiply
    255,732.80x = 383,599.20 × 78,240.20
  4. Step 4: Simplify right side
    255,732.80x = 30,012,878,127.84
  5. Step 5: Solve for x
    x = 30,012,878,127.84/255,732.80
  6. Step 6: Final answer
    x = 117,360.30

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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.