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Finding the Fourth Proportional to 320,459.84, 480,741.60 and 133,490.24

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Solution

The fourth proportional to 320,459.84, 480,741.60 and 133,490.24 is: 200,256.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,459.84 : 480,741.60 = 133,490.24 : x
  2. Step 2: Convert to fraction form
    320,459.84/480,741.60 = 133,490.24/x
  3. Step 3: Cross multiply
    320,459.84x = 480,741.60 × 133,490.24
  4. Step 4: Simplify right side
    320,459.84x = 64,174,311,561.98
  5. Step 5: Solve for x
    x = 64,174,311,561.98/320,459.84
  6. Step 6: Final answer
    x = 200,256.95

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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.