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Finding the Fourth Proportional to 255,313.08, 383,011.20 and 75,416.76

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Solution

The fourth proportional to 255,313.08, 383,011.20 and 75,416.76 is: 113,137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,313.08 : 383,011.20 = 75,416.76 : x
  2. Step 2: Convert to fraction form
    255,313.08/383,011.20 = 75,416.76/x
  3. Step 3: Cross multiply
    255,313.08x = 383,011.20 × 75,416.76
  4. Step 4: Simplify right side
    255,313.08x = 28,885,463,747.71
  5. Step 5: Solve for x
    x = 28,885,463,747.71/255,313.08
  6. Step 6: Final answer
    x = 113,137.42

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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.