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Finding the Fourth Proportional to 355,196.80, 533,313.60 and 145,244.80

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Solution

The fourth proportional to 355,196.80, 533,313.60 and 145,244.80 is: 218,079.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,196.80 : 533,313.60 = 145,244.80 : x
  2. Step 2: Convert to fraction form
    355,196.80/533,313.60 = 145,244.80/x
  3. Step 3: Cross multiply
    355,196.80x = 533,313.60 × 145,244.80
  4. Step 4: Simplify right side
    355,196.80x = 77,461,027,169.28
  5. Step 5: Solve for x
    x = 77,461,027,169.28/355,196.80
  6. Step 6: Final answer
    x = 218,079.18

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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.