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Finding the Fourth Proportional to 409,310.31, 614,048.51 and 128,762.31

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Solution

The fourth proportional to 409,310.31, 614,048.51 and 128,762.31 is: 193,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,310.31 : 614,048.51 = 128,762.31 : x
  2. Step 2: Convert to fraction form
    409,310.31/614,048.51 = 128,762.31/x
  3. Step 3: Cross multiply
    409,310.31x = 614,048.51 × 128,762.31
  4. Step 4: Simplify right side
    409,310.31x = 79,066,304,599.66
  5. Step 5: Solve for x
    x = 79,066,304,599.66/409,310.31
  6. Step 6: Final answer
    x = 193,169.59

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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.