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Finding the Fourth Proportional to 457,077.42, 631,078.56 and 285,062.58

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Solution

The fourth proportional to 457,077.42, 631,078.56 and 285,062.58 is: 393,580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,077.42 : 631,078.56 = 285,062.58 : x
  2. Step 2: Convert to fraction form
    457,077.42/631,078.56 = 285,062.58/x
  3. Step 3: Cross multiply
    457,077.42x = 631,078.56 × 285,062.58
  4. Step 4: Simplify right side
    457,077.42x = 179,896,882,496.29
  5. Step 5: Solve for x
    x = 179,896,882,496.29/457,077.42
  6. Step 6: Final answer
    x = 393,580.77

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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.