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Finding the Fourth Proportional to 428,425.36, 638,807.80 and 416,654.77

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Solution

The fourth proportional to 428,425.36, 638,807.80 and 416,654.77 is: 621,257.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,425.36 : 638,807.80 = 416,654.77 : x
  2. Step 2: Convert to fraction form
    428,425.36/638,807.80 = 416,654.77/x
  3. Step 3: Cross multiply
    428,425.36x = 638,807.80 × 416,654.77
  4. Step 4: Simplify right side
    428,425.36x = 266,162,318,024.84
  5. Step 5: Solve for x
    x = 266,162,318,024.84/428,425.36
  6. Step 6: Final answer
    x = 621,257.15

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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.