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Finding the Fourth Proportional to 413,729.41, 570,970.92 and 311,574.64

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Solution

The fourth proportional to 413,729.41, 570,970.92 and 311,574.64 is: 429,991.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,729.41 : 570,970.92 = 311,574.64 : x
  2. Step 2: Convert to fraction form
    413,729.41/570,970.92 = 311,574.64/x
  3. Step 3: Cross multiply
    413,729.41x = 570,970.92 × 311,574.64
  4. Step 4: Simplify right side
    413,729.41x = 177,900,058,849.47
  5. Step 5: Solve for x
    x = 177,900,058,849.47/413,729.41
  6. Step 6: Final answer
    x = 429,991.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.