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Finding the Fourth Proportional to 653,001.20, 978,189.60 and 440,424.80

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Solution

The fourth proportional to 653,001.20, 978,189.60 and 440,424.80 is: 659,752.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,001.20 : 978,189.60 = 440,424.80 : x
  2. Step 2: Convert to fraction form
    653,001.20/978,189.60 = 440,424.80/x
  3. Step 3: Cross multiply
    653,001.20x = 978,189.60 × 440,424.80
  4. Step 4: Simplify right side
    653,001.20x = 430,818,958,942.08
  5. Step 5: Solve for x
    x = 430,818,958,942.08/653,001.20
  6. Step 6: Final answer
    x = 659,752.17

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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.