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Finding the Fourth Proportional to 355,708.62, 533,563.82 and 145,346.54

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Solution

The fourth proportional to 355,708.62, 533,563.82 and 145,346.54 is: 218,020.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,708.62 : 533,563.82 = 145,346.54 : x
  2. Step 2: Convert to fraction form
    355,708.62/533,563.82 = 145,346.54/x
  3. Step 3: Cross multiply
    355,708.62x = 533,563.82 × 145,346.54
  4. Step 4: Simplify right side
    355,708.62x = 77,551,655,106.18
  5. Step 5: Solve for x
    x = 77,551,655,106.18/355,708.62
  6. Step 6: Final answer
    x = 218,020.17

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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.