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Finding the Fourth Proportional to 457,698.47, 631,643.87 and 253,736.42

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Solution

The fourth proportional to 457,698.47, 631,643.87 and 253,736.42 is: 350,167.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,698.47 : 631,643.87 = 253,736.42 : x
  2. Step 2: Convert to fraction form
    457,698.47/631,643.87 = 253,736.42/x
  3. Step 3: Cross multiply
    457,698.47x = 631,643.87 × 253,736.42
  4. Step 4: Simplify right side
    457,698.47x = 160,271,057,094.36
  5. Step 5: Solve for x
    x = 160,271,057,094.36/457,698.47
  6. Step 6: Final answer
    x = 350,167.34

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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.