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Finding the Fourth Proportional to 255,775.16, 383,662.74 and 113,587

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Solution

The fourth proportional to 255,775.16, 383,662.74 and 113,587 is: 170,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,775.16 : 383,662.74 = 113,587 : x
  2. Step 2: Convert to fraction form
    255,775.16/383,662.74 = 113,587/x
  3. Step 3: Cross multiply
    255,775.16x = 383,662.74 × 113,587
  4. Step 4: Simplify right side
    255,775.16x = 43,579,099,648.38
  5. Step 5: Solve for x
    x = 43,579,099,648.38/255,775.16
  6. Step 6: Final answer
    x = 170,380.50

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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.