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Finding the Fourth Proportional to 320,580.24, 480,914.12 and 133,548

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Solution

The fourth proportional to 320,580.24, 480,914.12 and 133,548 is: 200,340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,580.24 : 480,914.12 = 133,548 : x
  2. Step 2: Convert to fraction form
    320,580.24/480,914.12 = 133,548/x
  3. Step 3: Cross multiply
    320,580.24x = 480,914.12 × 133,548
  4. Step 4: Simplify right side
    320,580.24x = 64,225,118,897.76
  5. Step 5: Solve for x
    x = 64,225,118,897.76/320,580.24
  6. Step 6: Final answer
    x = 200,340.23

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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.