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Finding the Fourth Proportional to 457,145.30, 685,763.07 and 157,586.45

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Solution

The fourth proportional to 457,145.30, 685,763.07 and 157,586.45 is: 236,395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,145.30 : 685,763.07 = 157,586.45 : x
  2. Step 2: Convert to fraction form
    457,145.30/685,763.07 = 157,586.45/x
  3. Step 3: Cross multiply
    457,145.30x = 685,763.07 × 157,586.45
  4. Step 4: Simplify right side
    457,145.30x = 108,066,963,722.64
  5. Step 5: Solve for x
    x = 108,066,963,722.64/457,145.30
  6. Step 6: Final answer
    x = 236,395.22

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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.