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Finding the Fourth Proportional to 820,138.16, 1,131,765 and 480,832.40

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Solution

The fourth proportional to 820,138.16, 1,131,765 and 480,832.40 is: 663,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,138.16 : 1,131,765 = 480,832.40 : x
  2. Step 2: Convert to fraction form
    820,138.16/1,131,765 = 480,832.40/x
  3. Step 3: Cross multiply
    820,138.16x = 1,131,765 × 480,832.40
  4. Step 4: Simplify right side
    820,138.16x = 544,189,281,186
  5. Step 5: Solve for x
    x = 544,189,281,186/820,138.16
  6. Step 6: Final answer
    x = 663,533.67

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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.