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Finding the Fourth Proportional to 653,575.20, 978,807.60 and 401,632.80

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Solution

The fourth proportional to 653,575.20, 978,807.60 and 401,632.80 is: 601,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,575.20 : 978,807.60 = 401,632.80 : x
  2. Step 2: Convert to fraction form
    653,575.20/978,807.60 = 401,632.80/x
  3. Step 3: Cross multiply
    653,575.20x = 978,807.60 × 401,632.80
  4. Step 4: Simplify right side
    653,575.20x = 393,121,237,049.28
  5. Step 5: Solve for x
    x = 393,121,237,049.28/653,575.20
  6. Step 6: Final answer
    x = 601,493.50

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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.