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Finding the Fourth Proportional to 288,225.64, 431,452.62 and 245,710.36

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Solution

The fourth proportional to 288,225.64, 431,452.62 and 245,710.36 is: 367,810.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,225.64 : 431,452.62 = 245,710.36 : x
  2. Step 2: Convert to fraction form
    288,225.64/431,452.62 = 245,710.36/x
  3. Step 3: Cross multiply
    288,225.64x = 431,452.62 × 245,710.36
  4. Step 4: Simplify right side
    288,225.64x = 106,012,378,583.14
  5. Step 5: Solve for x
    x = 106,012,378,583.14/288,225.64
  6. Step 6: Final answer
    x = 367,810.37

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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.