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Finding the Fourth Proportional to 255,807.80, 383,711.40 and 68,819.28

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Solution

The fourth proportional to 255,807.80, 383,711.40 and 68,819.28 is: 103,228.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,807.80 : 383,711.40 = 68,819.28 : x
  2. Step 2: Convert to fraction form
    255,807.80/383,711.40 = 68,819.28/x
  3. Step 3: Cross multiply
    255,807.80x = 383,711.40 × 68,819.28
  4. Step 4: Simplify right side
    255,807.80x = 26,406,742,275.79
  5. Step 5: Solve for x
    x = 26,406,742,275.79/255,807.80
  6. Step 6: Final answer
    x = 103,228.84

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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.