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Finding the Fourth Proportional to 463,003.96, 638,665.75 and 305,840.84

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Solution

The fourth proportional to 463,003.96, 638,665.75 and 305,840.84 is: 421,875.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,003.96 : 638,665.75 = 305,840.84 : x
  2. Step 2: Convert to fraction form
    463,003.96/638,665.75 = 305,840.84/x
  3. Step 3: Cross multiply
    463,003.96x = 638,665.75 × 305,840.84
  4. Step 4: Simplify right side
    463,003.96x = 195,330,070,291.29
  5. Step 5: Solve for x
    x = 195,330,070,291.29/463,003.96
  6. Step 6: Final answer
    x = 421,875.60

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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.