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Finding the Fourth Proportional to 457,732.63, 631,670.79 and 253,783

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Solution

The fourth proportional to 457,732.63, 631,670.79 and 253,783 is: 350,220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,732.63 : 631,670.79 = 253,783 : x
  2. Step 2: Convert to fraction form
    457,732.63/631,670.79 = 253,783/x
  3. Step 3: Cross multiply
    457,732.63x = 631,670.79 × 253,783
  4. Step 4: Simplify right side
    457,732.63x = 160,307,308,098.57
  5. Step 5: Solve for x
    x = 160,307,308,098.57/457,732.63
  6. Step 6: Final answer
    x = 350,220.41

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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.