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Finding the Fourth Proportional to 255,723.20, 383,260.80 and 97,740.80

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Solution

The fourth proportional to 255,723.20, 383,260.80 and 97,740.80 is: 146,487.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,723.20 : 383,260.80 = 97,740.80 : x
  2. Step 2: Convert to fraction form
    255,723.20/383,260.80 = 97,740.80/x
  3. Step 3: Cross multiply
    255,723.20x = 383,260.80 × 97,740.80
  4. Step 4: Simplify right side
    255,723.20x = 37,460,217,200.64
  5. Step 5: Solve for x
    x = 37,460,217,200.64/255,723.20
  6. Step 6: Final answer
    x = 146,487.36

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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.