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Finding the Fourth Proportional to 457,939.12, 687,303.96 and 317,796.16

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Solution

The fourth proportional to 457,939.12, 687,303.96 and 317,796.16 is: 476,968.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,939.12 : 687,303.96 = 317,796.16 : x
  2. Step 2: Convert to fraction form
    457,939.12/687,303.96 = 317,796.16/x
  3. Step 3: Cross multiply
    457,939.12x = 687,303.96 × 317,796.16
  4. Step 4: Simplify right side
    457,939.12x = 218,422,559,240.79
  5. Step 5: Solve for x
    x = 218,422,559,240.79/457,939.12
  6. Step 6: Final answer
    x = 476,968.55

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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.