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Finding the Fourth Proportional to 413,633.75, 620,311.10 and 157,405.50

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Solution

The fourth proportional to 413,633.75, 620,311.10 and 157,405.50 is: 236,055.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,633.75 : 620,311.10 = 157,405.50 : x
  2. Step 2: Convert to fraction form
    413,633.75/620,311.10 = 157,405.50/x
  3. Step 3: Cross multiply
    413,633.75x = 620,311.10 × 157,405.50
  4. Step 4: Simplify right side
    413,633.75x = 97,640,378,064.02
  5. Step 5: Solve for x
    x = 97,640,378,064.02/413,633.75
  6. Step 6: Final answer
    x = 236,055.16

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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.