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Finding the Fourth Proportional to 255,920.40, 383,950.35 and 78,423.48

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Solution

The fourth proportional to 255,920.40, 383,950.35 and 78,423.48 is: 117,656.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,920.40 : 383,950.35 = 78,423.48 : x
  2. Step 2: Convert to fraction form
    255,920.40/383,950.35 = 78,423.48/x
  3. Step 3: Cross multiply
    255,920.40x = 383,950.35 × 78,423.48
  4. Step 4: Simplify right side
    255,920.40x = 30,110,722,594.22
  5. Step 5: Solve for x
    x = 30,110,722,594.22/255,920.40
  6. Step 6: Final answer
    x = 117,656.59

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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.