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Finding the Fourth Proportional to 457,140.83, 685,756.32 and 157,581.97

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Solution

The fourth proportional to 457,140.83, 685,756.32 and 157,581.97 is: 236,388.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,140.83 : 685,756.32 = 157,581.97 : x
  2. Step 2: Convert to fraction form
    457,140.83/685,756.32 = 157,581.97/x
  3. Step 3: Cross multiply
    457,140.83x = 685,756.32 × 157,581.97
  4. Step 4: Simplify right side
    457,140.83x = 108,062,828,416.77
  5. Step 5: Solve for x
    x = 108,062,828,416.77/457,140.83
  6. Step 6: Final answer
    x = 236,388.49

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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.