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Finding the Fourth Proportional to 320,224.32, 480,173.40 and 106,915.68

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Solution

The fourth proportional to 320,224.32, 480,173.40 and 106,915.68 is: 160,319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,224.32 : 480,173.40 = 106,915.68 : x
  2. Step 2: Convert to fraction form
    320,224.32/480,173.40 = 106,915.68/x
  3. Step 3: Cross multiply
    320,224.32x = 480,173.40 × 106,915.68
  4. Step 4: Simplify right side
    320,224.32x = 51,338,065,578.91
  5. Step 5: Solve for x
    x = 51,338,065,578.91/320,224.32
  6. Step 6: Final answer
    x = 160,319.07

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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.