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Finding the Fourth Proportional to 256,000.18, 353,288.73 and 139,720

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Solution

The fourth proportional to 256,000.18, 353,288.73 and 139,720 is: 192,818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,000.18 : 353,288.73 = 139,720 : x
  2. Step 2: Convert to fraction form
    256,000.18/353,288.73 = 139,720/x
  3. Step 3: Cross multiply
    256,000.18x = 353,288.73 × 139,720
  4. Step 4: Simplify right side
    256,000.18x = 49,361,501,355.60
  5. Step 5: Solve for x
    x = 49,361,501,355.60/256,000.18
  6. Step 6: Final answer
    x = 192,818.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.