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Finding the Fourth Proportional to 457,047.65, 685,151.57 and 157,457.00

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Solution

The fourth proportional to 457,047.65, 685,151.57 and 157,457.00 is: 236,040.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,047.65 : 685,151.57 = 157,457.00 : x
  2. Step 2: Convert to fraction form
    457,047.65/685,151.57 = 157,457.00/x
  3. Step 3: Cross multiply
    457,047.65x = 685,151.57 × 157,457.00
  4. Step 4: Simplify right side
    457,047.65x = 107,881,906,544.45
  5. Step 5: Solve for x
    x = 107,881,906,544.45/457,047.65
  6. Step 6: Final answer
    x = 236,040.83

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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.