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Finding the Fourth Proportional to 457,615.44, 686,449.31 and 153,887.72

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Solution

The fourth proportional to 457,615.44, 686,449.31 and 153,887.72 is: 230,840.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,615.44 : 686,449.31 = 153,887.72 : x
  2. Step 2: Convert to fraction form
    457,615.44/686,449.31 = 153,887.72/x
  3. Step 3: Cross multiply
    457,615.44x = 686,449.31 × 153,887.72
  4. Step 4: Simplify right side
    457,615.44x = 105,636,115,009.79
  5. Step 5: Solve for x
    x = 105,636,115,009.79/457,615.44
  6. Step 6: Final answer
    x = 230,840.36

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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.