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Finding the Fourth Proportional to 769,267.40, 1,154,114.40 and 320,199.80

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Solution

The fourth proportional to 769,267.40, 1,154,114.40 and 320,199.80 is: 480,388.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,267.40 : 1,154,114.40 = 320,199.80 : x
  2. Step 2: Convert to fraction form
    769,267.40/1,154,114.40 = 320,199.80/x
  3. Step 3: Cross multiply
    769,267.40x = 1,154,114.40 × 320,199.80
  4. Step 4: Simplify right side
    769,267.40x = 369,547,200,057.12
  5. Step 5: Solve for x
    x = 369,547,200,057.12/769,267.40
  6. Step 6: Final answer
    x = 480,388.48

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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.