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Finding the Fourth Proportional to 309,876.80, 464,815.20 and 291,214.40

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Solution

The fourth proportional to 309,876.80, 464,815.20 and 291,214.40 is: 436,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,876.80 : 464,815.20 = 291,214.40 : x
  2. Step 2: Convert to fraction form
    309,876.80/464,815.20 = 291,214.40/x
  3. Step 3: Cross multiply
    309,876.80x = 464,815.20 × 291,214.40
  4. Step 4: Simplify right side
    309,876.80x = 135,360,879,578.88
  5. Step 5: Solve for x
    x = 135,360,879,578.88/309,876.80
  6. Step 6: Final answer
    x = 436,821.60

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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.