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Finding the Fourth Proportional to 214,129.94, 320,915.84 and 119,356.28

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Solution

The fourth proportional to 214,129.94, 320,915.84 and 119,356.28 is: 178,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,129.94 : 320,915.84 = 119,356.28 : x
  2. Step 2: Convert to fraction form
    214,129.94/320,915.84 = 119,356.28/x
  3. Step 3: Cross multiply
    214,129.94x = 320,915.84 × 119,356.28
  4. Step 4: Simplify right side
    214,129.94x = 38,303,320,855.48
  5. Step 5: Solve for x
    x = 38,303,320,855.48/214,129.94
  6. Step 6: Final answer
    x = 178,878.87

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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.