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Finding the Fourth Proportional to 255,728.51, 383,578.80 and 78,235.50

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Solution

The fourth proportional to 255,728.51, 383,578.80 and 78,235.50 is: 117,348.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,728.51 : 383,578.80 = 78,235.50 : x
  2. Step 2: Convert to fraction form
    255,728.51/383,578.80 = 78,235.50/x
  3. Step 3: Cross multiply
    255,728.51x = 383,578.80 × 78,235.50
  4. Step 4: Simplify right side
    255,728.51x = 30,009,480,166.35
  5. Step 5: Solve for x
    x = 30,009,480,166.35/255,728.51
  6. Step 6: Final answer
    x = 117,348.98

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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.