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Finding the Fourth Proportional to 257,546, 355,529.88 and 162,192.80

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Solution

The fourth proportional to 257,546, 355,529.88 and 162,192.80 is: 223,899.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,546 : 355,529.88 = 162,192.80 : x
  2. Step 2: Convert to fraction form
    257,546/355,529.88 = 162,192.80/x
  3. Step 3: Cross multiply
    257,546x = 355,529.88 × 162,192.80
  4. Step 4: Simplify right side
    257,546x = 57,664,386,720.86
  5. Step 5: Solve for x
    x = 57,664,386,720.86/257,546
  6. Step 6: Final answer
    x = 223,899.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.