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Finding the Fourth Proportional to 457,649.12, 685,997.09 and 153,817.71

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Solution

The fourth proportional to 457,649.12, 685,997.09 and 153,817.71 is: 230,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,649.12 : 685,997.09 = 153,817.71 : x
  2. Step 2: Convert to fraction form
    457,649.12/685,997.09 = 153,817.71/x
  3. Step 3: Cross multiply
    457,649.12x = 685,997.09 × 153,817.71
  4. Step 4: Simplify right side
    457,649.12x = 105,518,501,450.46
  5. Step 5: Solve for x
    x = 105,518,501,450.46/457,649.12
  6. Step 6: Final answer
    x = 230,566.38

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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.