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Finding the Fourth Proportional to 256,501.70, 384,169.35 and 162,023.30

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Solution

The fourth proportional to 256,501.70, 384,169.35 and 162,023.30 is: 242,666.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,501.70 : 384,169.35 = 162,023.30 : x
  2. Step 2: Convert to fraction form
    256,501.70/384,169.35 = 162,023.30/x
  3. Step 3: Cross multiply
    256,501.70x = 384,169.35 × 162,023.30
  4. Step 4: Simplify right side
    256,501.70x = 62,244,385,845.86
  5. Step 5: Solve for x
    x = 62,244,385,845.86/256,501.70
  6. Step 6: Final answer
    x = 242,666.56

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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.