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Finding the Fourth Proportional to 309,720.92, 464,482.97 and 210,518.60

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Solution

The fourth proportional to 309,720.92, 464,482.97 and 210,518.60 is: 315,711.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,720.92 : 464,482.97 = 210,518.60 : x
  2. Step 2: Convert to fraction form
    309,720.92/464,482.97 = 210,518.60/x
  3. Step 3: Cross multiply
    309,720.92x = 464,482.97 × 210,518.60
  4. Step 4: Simplify right side
    309,720.92x = 97,782,305,466.30
  5. Step 5: Solve for x
    x = 97,782,305,466.30/309,720.92
  6. Step 6: Final answer
    x = 315,711.01

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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.