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Finding the Fourth Proportional to 533,998.30, 801,128.69 and 160,021.30

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Solution

The fourth proportional to 533,998.30, 801,128.69 and 160,021.30 is: 240,071.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,998.30 : 801,128.69 = 160,021.30 : x
  2. Step 2: Convert to fraction form
    533,998.30/801,128.69 = 160,021.30/x
  3. Step 3: Cross multiply
    533,998.30x = 801,128.69 × 160,021.30
  4. Step 4: Simplify right side
    533,998.30x = 128,197,654,441.10
  5. Step 5: Solve for x
    x = 128,197,654,441.10/533,998.30
  6. Step 6: Final answer
    x = 240,071.28

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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.