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Finding the Fourth Proportional to 457,596.72, 685,911.12 and 169,223.05

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Solution

The fourth proportional to 457,596.72, 685,911.12 and 169,223.05 is: 253,655.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,596.72 : 685,911.12 = 169,223.05 : x
  2. Step 2: Convert to fraction form
    457,596.72/685,911.12 = 169,223.05/x
  3. Step 3: Cross multiply
    457,596.72x = 685,911.12 × 169,223.05
  4. Step 4: Simplify right side
    457,596.72x = 116,071,971,755.32
  5. Step 5: Solve for x
    x = 116,071,971,755.32/457,596.72
  6. Step 6: Final answer
    x = 253,655.60

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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.