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Finding the Fourth Proportional to 428,424.92, 638,807.15 and 416,654.33

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Solution

The fourth proportional to 428,424.92, 638,807.15 and 416,654.33 is: 621,256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,424.92 : 638,807.15 = 416,654.33 : x
  2. Step 2: Convert to fraction form
    428,424.92/638,807.15 = 416,654.33/x
  3. Step 3: Cross multiply
    428,424.92x = 638,807.15 × 416,654.33
  4. Step 4: Simplify right side
    428,424.92x = 266,161,764,596.21
  5. Step 5: Solve for x
    x = 266,161,764,596.21/428,424.92
  6. Step 6: Final answer
    x = 621,256.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.