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Finding the Fourth Proportional to 457,647.37, 685,994.47 and 153,815.96

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Solution

The fourth proportional to 457,647.37, 685,994.47 and 153,815.96 is: 230,563.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,647.37 : 685,994.47 = 153,815.96 : x
  2. Step 2: Convert to fraction form
    457,647.37/685,994.47 = 153,815.96/x
  3. Step 3: Cross multiply
    457,647.37x = 685,994.47 × 153,815.96
  4. Step 4: Simplify right side
    457,647.37x = 105,516,899,288.19
  5. Step 5: Solve for x
    x = 105,516,899,288.19/457,647.37
  6. Step 6: Final answer
    x = 230,563.76

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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.