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Finding the Fourth Proportional to 457,389.51, 685,627.54 and 305,714.34

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Solution

The fourth proportional to 457,389.51, 685,627.54 and 305,714.34 is: 458,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,389.51 : 685,627.54 = 305,714.34 : x
  2. Step 2: Convert to fraction form
    457,389.51/685,627.54 = 305,714.34/x
  3. Step 3: Cross multiply
    457,389.51x = 685,627.54 × 305,714.34
  4. Step 4: Simplify right side
    457,389.51x = 209,606,170,112.64
  5. Step 5: Solve for x
    x = 209,606,170,112.64/457,389.51
  6. Step 6: Final answer
    x = 458,266.24

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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.