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Finding the Fourth Proportional to 407,850.12, 562,905.32 and 305,000.37

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Solution

The fourth proportional to 407,850.12, 562,905.32 and 305,000.37 is: 420,954.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,850.12 : 562,905.32 = 305,000.37 : x
  2. Step 2: Convert to fraction form
    407,850.12/562,905.32 = 305,000.37/x
  3. Step 3: Cross multiply
    407,850.12x = 562,905.32 × 305,000.37
  4. Step 4: Simplify right side
    407,850.12x = 171,686,329,349.97
  5. Step 5: Solve for x
    x = 171,686,329,349.97/407,850.12
  6. Step 6: Final answer
    x = 420,954.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.