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Finding the Fourth Proportional to 457,185.15, 685,810.59 and 157,661.40

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Solution

The fourth proportional to 457,185.15, 685,810.59 and 157,661.40 is: 236,503.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,185.15 : 685,810.59 = 157,661.40 : x
  2. Step 2: Convert to fraction form
    457,185.15/685,810.59 = 157,661.40/x
  3. Step 3: Cross multiply
    457,185.15x = 685,810.59 × 157,661.40
  4. Step 4: Simplify right side
    457,185.15x = 108,125,857,754.23
  5. Step 5: Solve for x
    x = 108,125,857,754.23/457,185.15
  6. Step 6: Final answer
    x = 236,503.43

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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.