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Finding the Fourth Proportional to 475,376.80, 713,065.20 and 400,727.20

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Solution

The fourth proportional to 475,376.80, 713,065.20 and 400,727.20 is: 601,090.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,376.80 : 713,065.20 = 400,727.20 : x
  2. Step 2: Convert to fraction form
    475,376.80/713,065.20 = 400,727.20/x
  3. Step 3: Cross multiply
    475,376.80x = 713,065.20 × 400,727.20
  4. Step 4: Simplify right side
    475,376.80x = 285,744,621,013.44
  5. Step 5: Solve for x
    x = 285,744,621,013.44/475,376.80
  6. Step 6: Final answer
    x = 601,090.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.