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Finding the Fourth Proportional to 255,648.10, 383,470.53 and 78,154.42

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Solution

The fourth proportional to 255,648.10, 383,470.53 and 78,154.42 is: 117,231.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,648.10 : 383,470.53 = 78,154.42 : x
  2. Step 2: Convert to fraction form
    255,648.10/383,470.53 = 78,154.42/x
  3. Step 3: Cross multiply
    255,648.10x = 383,470.53 × 78,154.42
  4. Step 4: Simplify right side
    255,648.10x = 29,969,916,859.24
  5. Step 5: Solve for x
    x = 29,969,916,859.24/255,648.10
  6. Step 6: Final answer
    x = 117,231.13

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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.