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Finding the Fourth Proportional to 357,020.20, 535,530.30 and 146,549.80

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Solution

The fourth proportional to 357,020.20, 535,530.30 and 146,549.80 is: 219,824.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,020.20 : 535,530.30 = 146,549.80 : x
  2. Step 2: Convert to fraction form
    357,020.20/535,530.30 = 146,549.80/x
  3. Step 3: Cross multiply
    357,020.20x = 535,530.30 × 146,549.80
  4. Step 4: Simplify right side
    357,020.20x = 78,481,858,358.94
  5. Step 5: Solve for x
    x = 78,481,858,358.94/357,020.20
  6. Step 6: Final answer
    x = 219,824.70

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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.