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Finding the Fourth Proportional to 305,513.42, 458,160.78 and 105,780.20

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Solution

The fourth proportional to 305,513.42, 458,160.78 and 105,780.20 is: 158,632.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,513.42 : 458,160.78 = 105,780.20 : x
  2. Step 2: Convert to fraction form
    305,513.42/458,160.78 = 105,780.20/x
  3. Step 3: Cross multiply
    305,513.42x = 458,160.78 × 105,780.20
  4. Step 4: Simplify right side
    305,513.42x = 48,464,338,940.56
  5. Step 5: Solve for x
    x = 48,464,338,940.56/305,513.42
  6. Step 6: Final answer
    x = 158,632.44

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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.