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Finding the Fourth Proportional to 288,812.40, 432,642.60 and 254,175.60

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Solution

The fourth proportional to 288,812.40, 432,642.60 and 254,175.60 is: 380,756.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,812.40 : 432,642.60 = 254,175.60 : x
  2. Step 2: Convert to fraction form
    288,812.40/432,642.60 = 254,175.60/x
  3. Step 3: Cross multiply
    288,812.40x = 432,642.60 × 254,175.60
  4. Step 4: Simplify right side
    288,812.40x = 109,967,192,440.56
  5. Step 5: Solve for x
    x = 109,967,192,440.56/288,812.40
  6. Step 6: Final answer
    x = 380,756.48

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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.