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Finding the Fourth Proportional to 255,314.08, 383,012.70 and 75,417.76

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Solution

The fourth proportional to 255,314.08, 383,012.70 and 75,417.76 is: 113,138.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,314.08 : 383,012.70 = 75,417.76 : x
  2. Step 2: Convert to fraction form
    255,314.08/383,012.70 = 75,417.76/x
  3. Step 3: Cross multiply
    255,314.08x = 383,012.70 × 75,417.76
  4. Step 4: Simplify right side
    255,314.08x = 28,885,959,885.55
  5. Step 5: Solve for x
    x = 28,885,959,885.55/255,314.08
  6. Step 6: Final answer
    x = 113,138.92

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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.