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Finding the Fourth Proportional to 674,276.64, 930,687.12 and 419,475.84

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Solution

The fourth proportional to 674,276.64, 930,687.12 and 419,475.84 is: 578,991.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,276.64 : 930,687.12 = 419,475.84 : x
  2. Step 2: Convert to fraction form
    674,276.64/930,687.12 = 419,475.84/x
  3. Step 3: Cross multiply
    674,276.64x = 930,687.12 × 419,475.84
  4. Step 4: Simplify right side
    674,276.64x = 390,400,761,439.18
  5. Step 5: Solve for x
    x = 390,400,761,439.18/674,276.64
  6. Step 6: Final answer
    x = 578,991.97

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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.