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Finding the Fourth Proportional to 309,870.30, 464,805.45 and 291,207.90

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Solution

The fourth proportional to 309,870.30, 464,805.45 and 291,207.90 is: 436,811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,870.30 : 464,805.45 = 291,207.90 : x
  2. Step 2: Convert to fraction form
    309,870.30/464,805.45 = 291,207.90/x
  3. Step 3: Cross multiply
    309,870.30x = 464,805.45 × 291,207.90
  4. Step 4: Simplify right side
    309,870.30x = 135,355,019,003.06
  5. Step 5: Solve for x
    x = 135,355,019,003.06/309,870.30
  6. Step 6: Final answer
    x = 436,811.85

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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.