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Finding the Fourth Proportional to 400,767.42, 601,216.47 and 190,334.28

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Solution

The fourth proportional to 400,767.42, 601,216.47 and 190,334.28 is: 285,532.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,767.42 : 601,216.47 = 190,334.28 : x
  2. Step 2: Convert to fraction form
    400,767.42/601,216.47 = 190,334.28/x
  3. Step 3: Cross multiply
    400,767.42x = 601,216.47 × 190,334.28
  4. Step 4: Simplify right side
    400,767.42x = 114,432,103,941.59
  5. Step 5: Solve for x
    x = 114,432,103,941.59/400,767.42
  6. Step 6: Final answer
    x = 285,532.45

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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.