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Finding the Fourth Proportional to 547,131.30, 754,908.22 and 320,733.06

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Solution

The fourth proportional to 547,131.30, 754,908.22 and 320,733.06 is: 442,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,131.30 : 754,908.22 = 320,733.06 : x
  2. Step 2: Convert to fraction form
    547,131.30/754,908.22 = 320,733.06/x
  3. Step 3: Cross multiply
    547,131.30x = 754,908.22 × 320,733.06
  4. Step 4: Simplify right side
    547,131.30x = 242,124,023,419.75
  5. Step 5: Solve for x
    x = 242,124,023,419.75/547,131.30
  6. Step 6: Final answer
    x = 442,533.67

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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.