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Finding the Fourth Proportional to 613,518.49, 920,423.79 and 309,164.84

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Solution

The fourth proportional to 613,518.49, 920,423.79 and 309,164.84 is: 463,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,518.49 : 920,423.79 = 309,164.84 : x
  2. Step 2: Convert to fraction form
    613,518.49/920,423.79 = 309,164.84/x
  3. Step 3: Cross multiply
    613,518.49x = 920,423.79 × 309,164.84
  4. Step 4: Simplify right side
    613,518.49x = 284,562,673,767.54
  5. Step 5: Solve for x
    x = 284,562,673,767.54/613,518.49
  6. Step 6: Final answer
    x = 463,820.86

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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.