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Finding the Fourth Proportional to 457,147.94, 685,767.02 and 157,589.07

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Solution

The fourth proportional to 457,147.94, 685,767.02 and 157,589.07 is: 236,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,147.94 : 685,767.02 = 157,589.07 : x
  2. Step 2: Convert to fraction form
    457,147.94/685,767.02 = 157,589.07/x
  3. Step 3: Cross multiply
    457,147.94x = 685,767.02 × 157,589.07
  4. Step 4: Simplify right side
    457,147.94x = 108,069,386,130.53
  5. Step 5: Solve for x
    x = 108,069,386,130.53/457,147.94
  6. Step 6: Final answer
    x = 236,399.16

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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.