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Finding the Fourth Proportional to 256,358.90, 384,539.30 and 78,864.68

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Solution

The fourth proportional to 256,358.90, 384,539.30 and 78,864.68 is: 118,297.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,358.90 : 384,539.30 = 78,864.68 : x
  2. Step 2: Convert to fraction form
    256,358.90/384,539.30 = 78,864.68/x
  3. Step 3: Cross multiply
    256,358.90x = 384,539.30 × 78,864.68
  4. Step 4: Simplify right side
    256,358.90x = 30,326,566,524.90
  5. Step 5: Solve for x
    x = 30,326,566,524.90/256,358.90
  6. Step 6: Final answer
    x = 118,297.31

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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.