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Finding the Fourth Proportional to 255,718.20, 383,617.80 and 87,254.40

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Solution

The fourth proportional to 255,718.20, 383,617.80 and 87,254.40 is: 130,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,718.20 : 383,617.80 = 87,254.40 : x
  2. Step 2: Convert to fraction form
    255,718.20/383,617.80 = 87,254.40/x
  3. Step 3: Cross multiply
    255,718.20x = 383,617.80 × 87,254.40
  4. Step 4: Simplify right side
    255,718.20x = 33,472,340,968.32
  5. Step 5: Solve for x
    x = 33,472,340,968.32/255,718.20
  6. Step 6: Final answer
    x = 130,895.42

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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.